BRIEF DISCLOSURE OF THE INVENTION
[0001] The present invention relates to a completely new type of composite structure, in
the following termed CRC (compact reinforced composite) with unique mechanical properties:
A very high strength (in any direction) combined with a very large rigidity (in any
direction) and a large strain capacity - also in tension - with retainment of a very
high internal coherence.
[0002] The structure is built up of a strong base matrix, which is typically very brittle
in itself, the base matrix being heavily reinforced with fine fibres, thereby forming
a stronger and more ductile material, this heavily fibre-reinforced material in itself
functioning as a matrix in a composite reinforced with a high concentration of main
reinforcement such as steel bars. This new class of material or structure may, for
example, be cement-based and has, in that case, an apparent similarity with reinforced
concrete, but with an exceptionally high load capacity, not only in compression, but
also in tension, for example, a bending capacity corresponding to about 150 to 300
MPa as compared to 20 MPa for good conventional reinforced concrete, with retention
of substantial internal coherence also in the tensile zone (crack-free behaviour at
tensile strains above 3 mm/m, as compared to tensile strains of only 0.1-0.2 mm/m
before cracking of the concrete material in reinforced concrete occurs).
[0003] The strength of the new material of the invention is more like that of structural
steel, not only in compression, but also in tension, bending and shear, but at the
same time, the material has the advantage of being a composite material with all the
possibilities which such a structure opens up for tailoring specific (often directional)
properties such as strength, hardness, chemical resistance, etc., possibilities which
are not available with monolithic materials like steel.
[0004] As a composite material or structure, the material or structure of the invention
opens new dimensions in that it shows very high strength and stiffness for loads in
any direction where conventional high-quality fibre-reinforced materials such glass-fibre
or carbon-fibre-reinforced plastics perform really well only in tension.
[0005] The new composite of the invention is
the hitherto non-existing composite - or for that matter non-existing material on the
whole - to be used in very large massive structures showing very high rigidity, load
capacity and toughness for loads in any direction:
High-quality conventional fibre-reinforced composites, such as carbon fibre-reinforced
plastics, are unable to resist large loads in shear and compression and are absolutely
unsuitable for large structures.
[0006] Structural steel, on the other hand, is obviously a very useful material also in
structures which are large with respect to overall size and weight, but cannot realistically
be used effectively in massive structures of greater thickness than about 200-400
mm, because the available methods of processing steel (rolling, welding, casting,
etc.) do not realistically permit the preparation of thicker steel structures.
[0007] With respect to massive structures which are able to take up large forces, also in
tension, conventional reinforced concrete has hitherto been the only candidate material,
but its strength, especially in tension, is inferior to the strength of high-strength
fibre-reinforced composite and structural steel.
[0008] The material according to the invention, CRC, can be effectively used in massive
structures of sizes which were hitherto only possible with reinforced concrete, but
with mechanical properties - in any direction - more like those of advanced fibre
composite (in tension) and structural steel.
[0009] This exceptional behaviour of the material of the invention is based on the utilization
of novel principles of mechanical behaviour to benefit from an almost neglected knowledge
that strong brittle materials fracture in tension after having shown a very small
deformation in a narrow zone after maximum stress has been reached, the narrow zone
still carrying load.
[0010] By fibre-reinforcing the brittle matrix against crack zone deformation and by utilizing
the main reinforcement for distribution of crack zone deformations over the entire
body, the strain capacity of the body before cracking and the coherence of the entire
structure are considerably increased.
[0011] The high toughness thereby obtained, together with an extremely good fixation between
the fibre reinforced matrix and the main reinforcement make it possible to use a high
concentration of main reinforcement, such as 10-40% by volume, to carry the main part
of the load. This is not possible in conventional reinforced concrete, where the brittleness
of the concrete prevents the use of a high concentration of main reinforcement, thereby
limiting the obtainable performance. This limitation has now been completely obviated
with the novel CRC structures.
[0012] Thus, Examples 1-5 illustrate the performance under high bending load of CRC beams
based on Portland cement and reinforced with 6% by volume of steel fibres (6 mm length,
0.15 mm diameter) and deformed steel bars; these materials show bending capacities
of 130-220 MPa (yield values) and strains in tension above 3 mm/m with substantial
retention of internal coherence. However, as will be understood from the following,
the CRC structures of the invention are not limited to cement-based matrices, but
may be made with any other suitable stiff matrix such as, e.g., ceramics for high
temperature performance, e.g., to form large ceramic high load-bearing ceramic structures
reinforced with thick bars. CRC is not limited to large structures reinforced with
millimetre-size bars; new fascinating articles made possible by the invention are
ductile fine ceramic-based articles in which the matrix A is reinforced with 1-10
µm diameter whiskers and the main reinforcement B is 0.2-1 mm diameter threads.
CRC Structure - Function
[0013] A typical CRC structure is shown in Fig. 1, which illustrates the main principle
with a heavy main reinforcement 1 embedded in a fibre reinforced matrix 2 which is
strong and very rigid, but also very ductile, in spite of the fact that the matrix
material itself is typically hard and brittle. Under loading, CRC functions as a composite
structure in which the main reinforcement and the matrix together resist loads, and
the matrix additionally distributes forces between the reinforcement components. Thus,
e.g., the CRC beams illustrated in Examples 1-4 herein resist loads in almost the
same way as conventional reinforced concrete: pressure load is predominantly carried
by the "concrete" (the fibre reinforced matrix), and tensile load is predominantly
carried by the reinforcement, the "concrete" transferring forces between the reinforcement
components.
[0014] However, CRC is able to resist much larger loads than conventional steel-reinforced
concrete, such as illustrated in Fig. 2, which shows the behaviour in bending of a
CRC beam (curve 1) and a beam of conventional good steel-reinforced concrete (curve
2), expressed as normalized bending stress versus normalized strain to enable the
comparison. The normalized bending stress is calculated by dividing the moment by
the section modulus. The normalized strain corresponds to the maximum strain in a
similar, homogeneous beam with ideal, linear elastic behaviour. The yield load of
the CRC beam is about 10 times larger than the yield load of the reinforced concrete.
The high tensile capacity of the CRC beam was obtained by incorporating a high content
of good steel reinforcement (12.1% by volume) in the tensile zone of the beam.
[0015] This would seem to be quite a normal function of the main reinforcement, apart from
the fact that the amounts of reinforcement are far larger than the normal amounts.
However, if it is attempted to incorporate such large amounts of reinforcement in
ordinary concrete, the system fails, because concrete does not have the necessary
strength and toughness to co-operate with the main reinforcement under such high concentrated
forces.
[0016] These problems associated with reinforced ordinary concrete are illustrated in Fig.
3, in which A shows the behaviour of conventional reinforced concrete in bending,
where the tensile load is carried by the main reinforcement 2, the concrete 1 being
cracked, but with controlled, acceptable cracks. The amount of reinforcement is moderate,
the concrete quality is normal, and the load capacity is correspondingly moderate.
B shows an attempt of utilizing a higher amount of reinforcement to increase the load
capacity of normal reinforced concrete, utilizing additional reinforcement also in
the compression zone in an attempt to prevent compression failure and possibly also
utilizing a very strong concrete: the consequence of this is that a large amount of
cracks occur in the heavily loaded matrix material 1, possibly resulting in total
failure. The matrix material is not able to follow the tensile deformation of the
reinforcement and therefore cracks, and because of the high internal force concentrations,
the crack pattern is not moderate and acceptable such as for conventional reinforced
concrete. These problems have now been overcome by CRC, illustrated by C in Fig. 3,
in which a very strong and very ductile matrix 3 now permits the effective utilization
of very high concentrations of strong reinforcement 4 which in the CRC structure -
contrary to the adverse effect in conventional reinforced concrete - actively contributes
to secure a high degree of internal coherence with a substantially crack-free matrix
at loads up to yielding of the reinforcement.
[0017] Due to the unique behaviour of the CRC structure, as explained in greater detail
in the following, the invention provides completely new possibilities of constructing
large bodies with very high load capacities adapted to specific requirements by means
of reinforcement systems with very dense arrangement and very concentrated reinforcement
anchoring.
[0018] The invention may be defined as a shaped article comprising a matrix (A) with a reinforcement
(B) embedded therein, the matrix (A) being a composite structure comprising a base
matrix (C) which is reinforced with fibres (D). The fibres D are present in a high
volume concentration of at least 2%, typically at least 4%, often at least 6%. The
main reinforcement B is present in a high volume concentration of at least 5%, typically
about 10-20% or even higher. An essential feature of the invention is that the article
has a high stiffness in any direction and is able to resist large compressive stresses.
Thus, the article (or the matrix A or the base matrix C) has a modulus of elasticity
of at least 30,000 MPa and a compressive strength of at least 80 MPa.
[0019] The invention may also be defined as a shaped article having a high stiffness and
resistance to compression as explained above and built up of a fibre-reinforced matrix
with a fibre concentration of at least 2%, typically at least 4% or 6%, with a main
reinforcement in a high concentration as explained above, the article showing an excellent
performance when in tension as defined by a large tensile strain capacity with substantial
coherence of the article, the tensile strain capacity being at least 0.5 mm/m, typically
2-5 mm/m, and/or a large tensile load capacity corresponding to a tensile load capacity
of at least 50 MPa under conditions of substantially elastic behaviour, at least 70
MPa under yielding, and at least 120 MPa under ultimate loading, the load capacity
values typically being 1.5-3 times higher than the minimum values stated above.
[0020] A special aspect of the invention may be defined as a structure comprising the constituents
stated above in which the ultimate strain of the base matrix material when present
in the matrix A in the article, i.e. when combined with the fibres, is higher than
the strain capacity of the same base matrix material measured on a separate specimen
of the base material, typically at least 1.5-3 times higher. In conventional fibre-reinforced
products, the matrix cracks at almost the same strain as the bulk matrix material.
[0021] The invention may also be defined as a shaped article having a high stiffness up
to yielding and a yield strain of at least 10 mm/m, typically at the least 30 mm/m,
with retention of a high load capacity.
[0022] Particular aspects of the invention are CRC articles based on cement. The combination
of the constituents of such materials, i.e. the main reinforcement and the matrix-forming
ingredients, is distinct from the known art. Thus, these aspects may be defined by
referring to their constituents.
[0023] The physics behind the behaviour of the CRC structure, e.g., how a strong, hard matrix
material is made capable of conferring the unique combination of of high load capacity,
high stiffness, and large internal coherence to composite material, is explained in
the following.
PHYSICAL PRINCIPLES OF THE INVENTION
[0024] To prepare reinforced composite materials showing a behaviour as described above
with strong, but brittle matrix materials like ceramics, glass, and very strong cement-based
materials has not hitherto been possible.
[0025] The chemical structure of such strong brittle solids which are typically bonded by
strong directional chemical bonds (covalent, ionic) does not allow yielding like in
metals.
[0026] The only way to improve brittle materials seems to be to reinforce them with strong
tensile members which can provide tensile strength and ductility.
[0027] It is known in the art to reinforce strong fine ceramics and other strong brittle
materials with very fine strong fibres, such as strong 2-10 µm diameter whiskers.
Hereby, materials with improved tensile properties and improved ductility are obtained.
However, such materials are not suitable for larger members, as they they would still
show an extremely brittle behaviour in spite of these improvements.
[0028] To achieve the ductility desired for larger structures, a far thicker reinforcement,
such as 5-25 mm diameter steel bars, is required.
[0029] Due to the low tensile strain capacity and the brittleness of the strong matrix material,
a concept of a high performance structure based on strong brittle matrices and large
(thick) reinforcement seemed, however, doomed to fail and has hitherto never been
realized. The brittle matrix would simply crack into pieces when strained together
with the reinforcement (if it had not already been destroyed by thermal stresses during
production).
[0030] In conventional reinforced concrete, large reinforcement is indeed used, but conventional
reinforced concrete is not a high performance material (only a low concentration of
reinforcement can be utilized, the tensile zones are typically heavily cracked, etc.).
[0031] With the present invention, high performance structures based on reinforcing strong,
brittle materials with a high concentration of thick reinforcing bars have become
a reality.
[0032] The invention is based on the recognition of what really happens locally in the fracture
zone of brittle materials, and how these recognized phenomena can be utilized.
Crack Zone Deformation
[0033] When a brittle material like glass, e.g., in the form of a large rod, fractures in
tension, it happens very suddenly after a substantially elastic deformation up to
ultimate load, such as illustrated in Fig. 4, where a crack zone 1 and fictitious
measuring points 2-2 for measuring the thickness of the crack zone are shown.
[0034] If, however, in the same experiment, the deformation is measured over a very narrow
zone in which the actual separation takes place, a quite different situation is observed.
[0035] This is illustrated in Fig. 5, which illustrates the behaviour of the crack zone
1 (corresponding to zone 1 in Fig. 4) showing the force versus the displacement of
the zone in the direction of the force. The displacement refers to the change in thickness
of the zone indicated by fictitious measuring points 2-2, corresponding to the measuring
points 2-2 in Fig. 4. The force is drawn in the same scale as in Fig. 4, but the scale
of the displacement is enlarged (e.g., so that when 1 cm in Fig. 4 corresponds to
1 mm, 1 cm in Fig. 5 corresponds to 1 µm).
[0036] The small zone 1 first deforms elastically up to maximum load. Then, at the start
of crack zone deformation (A), the force curve does not drop immediately, but rather
decreases over a longer distance, showing that the crack zone is still able to carry
tensile load (B). Only after a deformation which seems large in this scale (the crack
zone deformation), real separation occurs (C). In other words, during this deformation
after maximum load and until the real separation occurs, the crack zone consists of
a coherent material which is able to carry tensile load and to perform a kind of plastic
work.
[0037] Crack zone deformations are very small. In concrete, they are about 20-50 µm, in
conventional cement paste, they are 2-10 µm, in strong cement/microsilica paste, they
are 0.5-1 µm, and in glass, they are only about 0.001-0.01 µm.
[0038] As appears from these values, the crack zone deformations of very strong, brittle
materials (which are of special interest for the structures of the invention) are
extremely small, typically below 1 µm.
[0039] While crack zone deformations in concrete have been known for the last about fifteen
years, it is doubtful whether crack zone deformation has been recognized for very
strong, brittle materials at all, except for predictions and estimates of their magnitude
by the present inventor (Bache, H.H., "Concrete in Engineering". Paper presented at
the International Congress on Utilization of Materials Know-How in the Engineering
Industry, Espoo, Finland, September 10-13, 1985, Bache, H.H., "Fracture Mechanics
in Design of Concrete and Concrete Structures". Paper presented at the International
Conference on Fracture Mechanics of Concrete - Fundamentals and Applications, Lausanne,
October 1-3, 1985, Bache, H.H., "Brudmekanik", Beton-Teknik 3/12/1984).
[0040] One reason why there seems to be very little scientific recognition of the crack
zone deformations of the hard, brittle materials may be that it is almost impossible
to perform a direct detection of these extremely small deformations. Another reason
may simply be that no use was seen for such information.
[0041] As mentioned above, the present inventor predicted the existence of crack zone deformations
in hard, brittle materials, and estimated their magnitude. The estimation was based
on the relationship between the predicted crack zone deformation Δ, the fracture energy
G, and the tensile strength σ
under the presumption that the fracture work is predominantly due to the fracture
zone deformation.
[0042] It is, however, these small deformations which are utilized according to the present
invention, partly by reinforcing them by reinforcing the crack zones, partly by distributing
them over the whole body, thereby obtaining a sort of homogeneous yielding instead
of the formation of a single crack resulting in fracture.
Strain Capacity Increase by Utilization of Main Reinforcement
[0043] The invention utilizes the main reinforcement for imparting strain capacity increase
to the matrix in which the reinforcement is embedded by distributing small crack zones
under high load throughout the matrix material, thereby securing a substantially coherent
and substantially crack-free structure even under high tensile load.
[0044] This principle will now be discussed in greater detail.
[0045] Fig. 6 shows a body A made from a brittle material in unloaded condition and in strained
condition just before fracture, respectively. In the strained condition, a single
crack zone 2 has developed. The total deformation of the body is equal to the ultimate
strain ε
o multiplied by the length L of the body plus the crack zone deformation Δ of the single
crack zone
In large bodies, Lε
o dominates, but when the body becomes sufficiently small (or the crack zones sufficiently
large), the crack zone deformation ( Δ ) dominates. This means that the "apparent
rupture strain" (average rupture strain)

increases relative to ε
o of the bulk material, thus resulting in a real increased strain capacity for the
specific small body compared to the material in bulk ( ε
o ):

which may also be expressed by means of a quantity, EG/Lσ
o² which is proportional to Δ/L. This quantity which is a measure of ductility is termed
ductility number in the following. The reciprocal value Lσ
o²/EG which is termed
brittleness number is frequently used instead of
ductility number. When the ductility number is introduced in the above equation, we get

This means that if a brittle material is placed in a configuration where it is fixed
to rigid boundaries and thereby is
subdivided into small individual fixed domains (L is small), the strain capacity of the material
will be increased.
[0046] Fig. 6 B illustrates the situation where the brittle material has been fixed to a
rigid frame 3 which divides the material into several (n) smaller domains. When the
frame with the smaller domains is strained, several small crack zones develop (one
crack zone in each domain) develop before any crack is opened. This means that the
total deformation is now
In other words, by the subdivision, the contribution from the crack zone deformation
to the total deformation is increased by a factor n. This is what is obtained in CRC
materials where the densely arranged main reinforcement acts as a the stiff frame
that subdivides the matrix material into small domains and thus increases its strain
capacity when the material undergoes tensile deformation together with the main reinforcement.
Evidently, the term
subdivides is not intended to indicate that the material is physically divided into separate
bodies, but rather that the fixation to the rigid main reinforcement makes the material
act, with respect to certain of its properties, as if it were subdivided into small
separate bodies. The gist of this principle is that each particular domain in the
material is fixed to the rigid main reinforcement in such a manner that the material
will not be able to move so much that a crack can be opened. This is the situation
illustrated in Fig. 6 C, which shows a CRC structure with a reinforcement 5 which
acts as the stiff frame which subdivides the matrix prisms adjacent to the reinforcement
into small domains, hereby giving to multiple crack zone deformations under tensile
load.
[0047] In the following, the conditions for obtaining an increase of the strain capacity
of the material by utilizing the arrangement and character of the reinforcement to
generate such small individual domains of the matrix will be discussed.
1) In a material with a smooth reinforcement in a low concentration, there is substantially
no fixation of the matrix material. No subdivision of the matrix in small volumes
is obtained because a) there is a risk of sliding along the reinforcement and b) cracks
are not stopped (even if the fixation had been good) when the concentration of the
reinforcement is low, because the crack may pass the reinforcement.
2) With rough or profiled reinforcement in low concentration, the conditions are perhaps
somewhat improved, as sliding becomes more difficult, but the crack may still pass
the reinforcement and the desired effect with small discrete tightly fixed volumes
is not obtained.
[0048] The above situations are typical for known art steel reinforced concrete where high
reinforcement concentrations (above 5%) are rare.
3) With a high concentration of well distributed reinforcement and simultaneously
a good fixation of the matrix to the reinforcement, the matrix is "divided" into small
fixed volumes of a size of the same order as the diameter of the reinforcement.
It is essential that the reinforcement is evenly distributed so that the thickness
of "the matrix prisms" between the main reinforcement bars is small (typically of
the same order as the diameter of the bars).
[0049] An essential feature is that the matrix should be very well fixed between the very
densely arranged reinforcement, thereby being able to obtain the strain capacity increase.
[0050] In order to achieve this, the following is desired:
1) A densely arranged reinforcement, typically with a concentration larger than 5%.
Thus, according to the invention, it is preferred that the reinforcement (B) is present
in a concentration larger than 5%, preferably larger than 7%, more preferably larger
than 10%, still more preferably larger than 15%, still more preferably larger than
20%, still more preferably larger than 30% and most preferably larger than 40% by
volume.
The reinforcement will often not be evenly distributed over the cross section of the
article to be reinforced, but will rather often have a higher concentration in the
zone which becomes the tension zone when load is applied to the body than in the zone
which is subjected to compression. However, also in the zone subjected to compression,
reinforcement should often be incorporated so that the shaped article will not fail
due to rupture in the compression zone. Beams with reinforcement also in the compression
zone are illustrated in Examples 1-5.
2) A reinforcement which is capable of fixing the matrix material, for example by
roughness, profiling and good chemical affinity, and a matrix specially suitable for
fixing the reinforcement, such as the high fibre loaded matrix used in Examples 1-7.
Fixation of Reinforcement
[0051] For CRC to act as a strong, ductile composite structure, it is essential for the
matrix material to be very strong and rigid, but also to act in a ductile manner and
to be intimately fixed to the main reinforcement, and it is also essential to ensure
that the main reinforcement acts as a spatially stable, stiff frame.
[0052] The ductility of the matrix material (which in itself is very rigid) is ensured by
fibre reinforcement.
[0053] The fixation of the matrix to the main reinforcement is ensured by using strong,
stiff matrix materials that are given high ductility, together with a useful shape
of the main reinforcement (e.g. with circular cross section and deformed and rough-surfaced).
[0054] Spatial stability is ensured by geometrically suitably arranged reinforcement tightly
fixed by matrix material.
[0055] In many cases, transverse reinforcement can be omitted altogether even under shear
loads where similar structures of conventional reinforced concrete would be provided
with transverse reinforcement, because the large shear forces can be transferred by
the strong, rigid, ductile fibre reinforced matrix such as demonstrated in Examples
1-4.
[0056] In order to transfer very large shear forces or large tensile forces perpendicular
to the main reinforcement, it is desirable to make extensive use of transverse reinforcement.
A special aspect of the invention is special arrangements of transverse reinforcement
made possible by the unique ability of the matrix material to tightly fix reinforcement
consisting of short straight bars arranged transversely to the longitudinal main reinforcement,
the bars being efficiently fixed at very short length at their ends.
[0057] Good interaction between reinforcement and matrix depends on the matrix material
being able to follow the deformations of the reinforcement as a coherent load-bearing
material.
[0058] For systems with extreme brittleness, internal coherence requires that the strains
in the matrix close to the reinforcement never exceed the ultimate strain of the matrix
material in bulk:
For systems with ductility, the requirement concerning internal coherence according
to the principle of utilizing crack zone deformation is that the local deformation
of the matrix is smaller than the crack zone deformation of the material:
In CRC, high concentrations of main reinforcement are used, normally in parallel arrangement
- a configuration which in a normal concrete matrix would involve a high risk of matrix
splitting along the reinforcement, especially as the binder materials are usually
extremely strong and brittle. These tendencies are counteracted by introducing a high
ductility by effective fibre reinforcement. This is illustrated in Fig. 7.
[0059] Fig. 7 illustrates crack behaviour when a cylinder (e.g. a reinforcing bar) of diameter
D expands (or the matrix contracts) in a matrix material with tensile strength σ
o, tensile strain just before crack ε
o, modulus of elasticity E and fracture energy G. The expansion of the cylinder (relative
to the matrix), ε , is shown relatively to the tensile strain just before crack, ε
o. The abscissa is the brittleness number

wherein Δ is the crack zone deformation.
[0060] 1 shows a curve for a system in which there was an initial defect (a crack) which
developed further by overloading while 2 is a curve for a system which did not have
any initial crack defects. In the area A , the matrix remained non-cracked, in the
area B , the matrix cracked. The area C is the area representing systems with initial
cracks smaller than the initial cracks referred to in connection with curve 1.
[0061] In CRC, high ductility - low brittleness numbers - is ensured in connection with
fixation of the main reinforcement by means of very effective fibre reinforcement,
whereby the fracture energy of the matrix (G) is increased by a factor of about 100
compared with that of non-reinforced material.
[0062] The expression for the brittleness number ( σ
o²D/EG ) shows that the brittleness can be reduced (ductility increased) by using smaller
reinforcement dimensions (D), increasing the stiffness (E), and increasing the fracture
energy (G).
[0063] In CRC, ductility in connection with fixation of main reinforcement is primarily
obtained by substantially increasing the fracture energy of the matrix material through
a high concentration of fine, strong, stiff fibres. The fracture energy (G) is thereby
increased considerably, e.g. by a factor of more than 100 as illustrated in Fig. 8
which shows graphs from Example 1. The beams were subjected to a force as indicated
by an arrow 1. The graphs illustrate the relationship between force and deflection
of the beams. The beam dimensions shown are in mm. The width of the beams was 50 mm.
The fracture energy (G) in the non-reinforced matrix material and in the fibre-reinforced
matrix material of Example 1 (6 vol% of steel fibres having a length of 6 mm and a
diameter of 0.15 mm), calculated as work performed (area below the force/load curve)
divided by the respective crack areas, were 130 N/m and 13,000 N/m, respectively.
[0064] It is to be noted that the increase in fracture energy using fibres should be obtained
in such a manner that the toughness obtained is one which manifests itself under small
deformations, as opposed, e.g., to a toughness of the same fracture energy level,
but manifesting itself under large deformation at low stress, such as would be the
case with traditional fibre reinforcement with large, thick fibres.
[0065] To avoid micro-fracture in base matrix surrounding the fibres it is essential to
build up micro-ductility as well. Local ductility around the individual fibres is,
according to the concept of brittleness number, ensured by using fine, very stiff
fibres in a stiff base matrix with a high fracture energy. The fibre dimension will
often be a compromise between the desire for fine reinforcement for the purpose of
ensuring the above-mentioned local ductility and the desire for large fibres to ensure
ductile behaviour during macro-failure and for production reasons.
[0066] Another important and surprising aspect also based on the utilization of the concept
of brittleness number is the use of very stiff base matrix as a means of creating
a high ductility. The stiffness of the base matrix is increased by increasing the
volume of aggregate (in systems where the aggregate is stiffer than the binder) and
by using aggregates of materials with a higher modulus of elasticity. Increasing the
volume of strong aggregates has a beneficial effect besides increasing the stiffness
in that it reduces the quantity of binder material required, whereby the material
becomes less sensitive to deformation and gets a higher fracture energy.
[0067] In accordance with the foregoing, a high concentration of coarse quartz particles
was used in the cement-based CRC beams in Examples 1-4, which gave the matrix material
a high modulus of elasticity ( E ≃ 50,000 MN/m² ) and a relatively high fracture energy
(G ≃ 100 N/m).
[0068] The stiffness - and the fracture energy - can be increased still further by using
stronger particles such as refractory bauxite (rich in Al₂O₃). Thus, matrix material
with Al₂O₃-rich sand having a modulus of elasticity of about 70,000 MPa is used in
Example 6 and has been reported in "Densified Cement/Ultrafine Particle-Based Materials"
by Bache, H.H., paper presented at the Second International Conference on Superplasticizers
in Concrete, Ottawa, Canada, June 10-12, 1981, in the following referred to as "Ottawa
Paper".
Increasing the Strain Capacity of the Matrix Material
[0069] In one aspect, the invention relates to reinforced structures with a particular main
reinforcement arranged in a matrix material, the strain capacity of which (the strain
at which formation of matrix cracks just begins) has been increased by a special fibre
reinforcement. This is illustrated in Fig. 9 which shows the tensile behaviour of
reinforced brittle materials in general.
[0070] In Fig. 9, A illustrates the behaviour of a non-reinforced specimen (shaped as a
rod), under tension.
[0071] When identical specimens, but with reinforcement, e.g. bars or fibres, arranged in
the direction of the tension are subjected to tension, the matrix will, in the normal
case (B and C), rupture at the same strain as the non-reinforced matrix. After the
rupture, the load is carried by the reinforcement.
[0072] Thus, the systems do not differ with respect to strain capacity (considered from
the point of view of the matrix). The difference between the systems is that the average
stress at which the matrix ruptures is another (the stress is larger if the reinforcing
material is stiffer than the matrix material and smaller if the reverse applies) and
that the reinforced material is capable of carrying loads also after the rupture formation
in the matrix, the load being carried through the reinforcement across the cracks.
[0073] For materials such as cement mortar and concrete, the ultimate tensile strain at
which the matrix cracks is about 0.1 to 0.2 mm/m.
[0074] In the following, the effect of incorporation of fibres will be discussed, exemplified
by the behaviour of cement/concrete systems:
As illustrated by curve A in Fig. 9, a non-reinforced mortar or concrete matrix will
crack in a brittle manner after developing a single crack. By incorporating short
fibres in a concrete (or mortar) matrix, a different behaviour is obtained. The material
cracks at deformations more or less corresponding to the ultimate tensile strain of
a corresponding matrix not reinforced with fibres, but the behaviour after the crack
formation is different.
[0075] With a moderate reinforcing effect, typical of conventional fibre reinforced concrete,
as illustrated by B in Fig. 9, the reinforcement is not capable of transferring as
much load as the non-cracked concrete, but the material is still coherent - reinforced
with fibres across the cracks. The material will typically develop a single or a few
cracks only.
[0076] With better fibre reinforcement (more fibres, better adhesion between fibres and
matrix etc.) which ensures transfer of larger forces in the fibres across the cracks
than in the non-cracked concrete, multiple crack formation takes place, as illustrated
by C in Fig. 9. This behaviour is not very often obtained in normal fibre reinforced
concrete and mortar, but is in fact obtained in special materials such as glass fibre
reinforced thin sheets.
[0077] The behaviours discussed above represent "normal known behaviour" for fibre reinforced
mortar and concrete and all have the common feature that the matrix starts to crack
at largely the same strain as the non-reinforced concrete. The crack passes both main
reinforcement and fibres. This is the generally accepted behaviour of reinforced brittle
materials with matrix materials having a strain capacity which is much smaller than
the strain capacity of the reinforcement. In fact, in connection with cement/steel
systems, the ratio between the strain capacity of the steel and the cement is larger
than 20:1 and in many cases also larger than 40:1.
[0078] However, with very special combinations of fibres and matrix it is possible to violate
this "law" and obtain a genuine increase of the strain at which crack formation in
the matrix takes place, as shown by D in Fig. 9 and discussed in the following.
[0079] This genuine increase of the strain is directly related to the phenomenon of crack
zone deformation explained above. The tensile stresses over the deformed crack zone
(which later becomes the crack, but which has not yet cracked) are smaller than the
maximum stress, i.e. the large deformations take place only after the maximum stress
has occurred, such as explained above in connection with Fig. 5.
[0080] If - contrary to what happens in the known materials - the large deformations could
take place
before the maximum stress had been reached, the behaviour would be completely different,
as the "yielding" would spread out over the entire body before maximum load and fracture.
This is illustrated in Fig. 10.
[0081] In Fig. 10, a curve 1 illustrates the normal behaviour of a brittle material under
tensile load. In accordance with what was explained in connection with Fig. 5, the
material first deforms elastically up to maximum load 6 where the first crack zone
(3) develops. Then, the force curve decreases with increasing displacement until separation
occurs.
[0082] Curve 2 illustrates a completely different, and very desirable, behaviour for a brittle
matrix material with an adequate fibre reinforcement according to one of the principles
of the invention: Because the matrix material is adequately reinforced over the crack
zone, the behaviour at the tensile load 6 which corresponds to the maximum load of
the non-reinforced matrix is completely different: instead of a decrease of the force
curve, there is an increase because the combined tensile load-carrying ability of
the crack zone of the matrix and the fibres reinforcing the crack zone is greater
than the maximum load-carrying ability of the non-cracked bulk matrix material. Therefore,
new crack zones will develop, and the course of the force/displacement curve will
be increasing (as shown by 2), representing an increasing degree of the fibres in
the multiple crack zones carrying the load until the situation (4 and B) where reinforced
crack zones have developed throughout the material and the ultimate load has been
reached. Then, fracture of the matrix occurs in one of the crack zones, the fibres
reinforcing the crack zone still carrying tensile load during an additional displacement
(C).
[0083] Such a favourable behaviour is known from metals which show plastic yielding in shear
before fracture, where structural rearrangements create the so-called
strain-hardening.
[0084] As will be understood from the discussion of Fig. 10, curve 2-4, it is possible to
create a similar "strain-hardening" by reinforcing the fine "soft" crack zone in such
a manner that the fibres take over so much load that the stress in the crack zone
before formation of the crack now exceeds the stress at which the soft crack zone
starts to develop (which largely corresponds to the maximum stress for the non-reinforced
matrix material).
[0085] Thus, according to this aspect of the invention, the complete matrix material (the
base matrix (C)) is reinforced so that material which "intends to crack" will all
the time meet the strain-hardened reinforcing mechanism with the result that a new
zone is deformed, the end result being that there is a through-going evenly distributed,
larger strain. In the following, this mechanism is designated "strain-hardening".
[0086] It was known to increase the strain capacity of a cementitious material by means
of fibres in certain special products such as high quality asbestos cement pipes produced
by spinning techniques. However, it was not known to combine such structures with
main reinforcement using the strain-hardenable material as a special concrete together
with a special arrangement of main reinforcement.
[0087] Hence, in this aspect, the present invention relates to a shaped article comprising
a matrix (A) with a reinforcement (B) embedded therein, the matrix (A) being a composite
structure comprising a base matrix (C) which is reinforced with reinforcing bodies
(D) such as fibres whereby the strain capacity of the matrix (A) is increased over
that of the base matrix (C) so that the ratio between the strain capacity of the matrix
(A) and the strain capacity of the base matrix (C) is at least 1.2, preferably at
least 1.5, more preferably at least 2, still more preferably at least 3, still more
preferably 5, still more preferably 10, still more preferably 20, still more preferably
50, and most preferably at least 100.
[0088] This increase of the strain capacity of the matrix (A) over that of the same, but
reinforced matrix material (C) may be obtained by a special fibre arrangement (the
traditional "coarse" reinforcement known in connection with concrete and mortar combined
with usual concrete materials will be completely incapable of creating such a "strain-hardening"
effect).
[0089] To facilitate the discussion of the special fibre arrangement, theoretical criteria
(developed by the inventor in non-published work and being in close agreement with
theoretical models developed by Aveston, Cooper, and Kelly, (Aveston, J., G.A. Cooper,
and A. Kelly, "Single and Multiple Fracture", in: Proceedings, the Properties of Fibre
Composites, National Physical Laboratory, November 4, 1971, pp. 15-16)) will be used.
These criteria were developed for materials reinforced with cylindrical fibres arranged
parallel with the direction of tension.
[0090] In a simplified form, the conditions for obtaining the desired "strain-hardening"
is that:

or

wherein φ is the volume concentration of the fibres, G
m is the fracture energy of the base matrix (C), E
m is the modulus of elasticity of the base matrix material (C), τ is the shear stress
at sliding between fibre and matrix (C), σ
m is the tensile strength of the base matrix (C) and d is the fibre diameter.
[0091] The larger the above ratio ( I ) or ( II ) is, the more pronounced is the strain-hardening
effect. The ratio ( I ) or ( II ) should preferably be larger than 0.1, more preferably
larger than 0.3, still more preferably larger than 1, still more preferably larger
than 3, still more preferably larger than 10, still more preferably larger than 30,
still more preferably larger than 100, still more preferably larger than 300, and
most preferably larger than 1000.
[0092] These models are simplified, i.a. by assuming that the fibre concentration is low
(i.e. below approximately 10%) and that the fibres are oriented in the direction of
the applied tensile force. At higher concentrations and with other fibre orientations,
the behaviour will still be of the same general nature, but the expressions will be
more complicated.
[0093] The first model ( I ) is the more useful when the matrix is stiffer than the fibres
(the product of the fibre elasticity modulus and the fibre concentration), whereas
the second model is the more useful for systems with higher fibre stiffness.
[0094] For, e.g., the materials in Examples 1-7, it is best to use the first model ( I )
(for soft fibres) even though the steel fibres used would appear "very stiff", having
a modulus of elasticity E
f = 2.1 x 10¹¹ N/m². The reason for this is that the modulus of elasticity of the "concrete"
is also very large. For example, at a fibre concentration of 0.06:

The expressions stated above give valuable information as to 1) why the strain-hardening
mentioned above does not occur in known art matrix materials used in reinforced structures
(for example steel reinforced concrete or steel reinforced concrete with fibre reinforcement
in the known art), 2) why it is at all so difficult to establish this strain-hardening
(even in special products), 3) which parameters are decisive for obtaining the desired
effect, and 4) how the effect is utilized to construct the matrix materials used according
to the invention.
DEFINITIONS
Matrix and Reinforcement
[0095] The present specification refers to the concepts matrix and reinforcement, these
concepts being used in various contexts.
[0096] In a classical steel reinforced concrete beam, the concrete will typically be designated
the matrix of the system, and the steel bus with diameters of several millimetres
which are incorporated to carry the tensile load will be referred to as the reinforcement,
the beam being referred to as the reinforced structure.
[0097] In connection with the description of the structure of the materials according to
the present invention, where a matrix material (such as Portland cement-microsilica-based
mortar) is reinforced with short fine fibres (e.g. fibres of length 6 mm, diameter
0.15 mm) and, in addition, has heavy steel reinforcement (e.g. bars of diameters 8
mm to 25 mm), the following designations are used:
1. The matrix material is designated the base matrix (C)
2. The base matrix with the fine fibres therein is referred to as the fibre reinforced matrix or, for brevity, as the matrix (A).
3. The fine fibres are referred to as bodies (D) or fibres (D) or matrix reinforcement.
4. The heavy steel bars are referred to as the main reinforcement or the structural reinforcement or, for brevity, the reinforcement (reinforcement (B)).
[0098] In most cases, these concepts will not give rise to any interpretation problems.
[0099] If the components reinforcing the matrix are elongated with a ratio between length
and the largest transverse dimension larger than about 10, and if the components are
straight or have only a slight curvature, these components are designated fibres.
[0100] The main reinforcement - the reinforcement (B) - will normally be in the form of
bars or wires - typically with profiled surface and roughness, but also other shapes
known from profiled steel (I or U shaped) are known.
[0101] The main reinforcement is substantially larger than the matrix reinforcement, typically
having a transverse dimension (in case of reinforcement with elongated cross section,
the transverse dimension refers to the shortest transverse dimension) which is at
least five times as large, and very often more than 10 or 100 times as large as the
transverse dimension of the matrix reinforcement.
[0102] The matrix reinforcement may be continuous (wire, web, net, etc.), but will, in most
cases, consist of short components (chopped fibres, whiskers, etc.).
[0103] The matrix reinforcement will normally be thin with transverse dimensions less than
1 mm, often less than 0.2 mm, and, for fine particle systems or other systems where
the advantages of very fine reinforcement of less than 50 µm may be utilized, in special
cases less than 10 µm and in extreme cases less than 1 µm.
[0104] The matrix reinforcement may consist of combinations of different reinforcing components.
[0105] The main reinforcement will normally have a transverse dimension of 5 to 20 or in
certain cases to 50 mm or even more in CRC structures with cement-based base matrix
C, but may, in special cases, be considerably smaller - for example when the matrix
is an ultra fine particle-based base matrix containing whiskers, such as "down-scaled
versions" of the concrete-like structures illustrated in the examples. Thus, structures
with main reinforcement of a diameter of 0.2-5 mm based on a matrix with very fine
particles and fibres are also interesting structures according to the invention.
Cracks and Crack Formation
[0106] Cracks and crack formation are of decisive importance in the present invention, and
these concepts are used at several occurrences in the description of the invention.
[0107] However, the concept "crack" being a broad concept, the usage in the present specification
needs to be defined:
1. A crack in a body is here defined purely mechanically: as a domain which is not capable of transferring
load (tension). To avoid misunderstandings, it should be noted that the term cracks, in the context of the present specification and claims, means narrow zones (formed
by separation of material) which cannot transmit tensile forces acting at right angles
to themselves, and whose extent in their own plane is large in relation to a reference
length. Here, a crack is thus defined purely mechanically (lack of ability to transmit
forces) and a size criterion is attached to the definition.
Thus, when a crack-free fibre-reinforced matrix is referred to, it means a fibre-reinforced
material in which there are no base matrix cracks propagating past the fibre reinforcement
and in which any cracks present are smaller than the distance between the fibres or
at the most of the same size as the distance between the fibres.
[0108] The concept of "cracks passing the reinforcement" or "cracks not passing the reinforcement"
plays an essential role in the characterization of the present invention.
[0109] It is an important aspect of the invention that the articles of the invention can
perform, even under very large loads, without showing cracks passing the reinforcement.
[0110] In the context of the present definition, "reinforcement" refers to the main reinforcement
(such as 8 mm steel bars used in the beams in Example 1).
[0111] As the structures according to the invention also contain matrix reinforcement in
the form of fibres which reinforce the base matrix (such as steel fibres of a length
of 6 mm and a diameter of 0.15 mm as used in Example 1-7), it is important to note
that there are two possible types of cracks passing (or not passing) the main reinforcement:
one type being a complete crack where the fibres of the matrix are broken or pulled
out so that no tensile forces at all can be transferred across the crack by the fibre-reinforced
matrix. The other type of crack is a base matrix crack passing fibres which are still
able to transfer load across the crack.
[0112] Whenever the present specification refers to cracks passing (or not passing) the
reinforcement, the "cracks" include both types of cracks, in other words, both cracks
which are no longer able to transfer load across the cracks, and cracks which do pass
fibres, but, due to the fact that the fibres are not pulled out, are still able to
permit the transfer of load across the cracks.
[0113] It is known in the art to have systems with cracks passing the main reinforcement,
these cracks being capable of transferring load because the matrix is also reinforced
with fibres. Examples of such systems are steel fibre-modified reinforced concretes.
It is known that in spite of the fact that the matrix cracks of these known systems
may still be able to carry some load, the systems will often show a rather poor behaviour.
[0114] This may typically be the case when the matrix cracks are of considerable thickness
(for example 0.5 mm up to perhaps 2-5 mm, the two sides of the cracks still being
interconnected by long fibres of for example 10-50 mm). Such systems typically show
a poor durability, for example because they allow mass transfer into the main reinforcement
(for example transfer of water and oxygen, thus causing corrosion of the reinforcement).
[0115] An important aspect of the present invention is that the special combination of base
matrix, fibres and main reinforcement increases the strain capacity before base matrix
cracks pass the main reinforcement to far beyond the strain capacity of the fibre
reinforced base matrix in bulk, thereby securing an exceptionally good crack-free
behaviour even at very large loads.
[0116] However, the invention is not limited to systems in which no base matrix cracks pass
the main reinforcement.
[0117] In fact the unique fibre reinforcement of the matrix used according to the invention
with a very high concentration of typically very fine, rigid, strong fibres ensures
that base matrix cracks passing the main reinforcement (such cracks occurring at very
high loads) are kept very small over a broad strain range. Materials of the invention
which have been subjected to loads causing base matrix cracks of thicknesses of e.g.
5-10 µm passing the main reinforcement perform excellently in many cases and thus,
represent fascinating new phenomena combining a large internal coherence with rigidity
under extreme load conditions.
[0118] A crack passing the reinforcement may propagate as a single crack observed as a single
through-going crack in a cross section perpendicular to the crack except for the reinforcement
and fibres passing the crack.
[0119] However, in many cases, the cracks are subdivided and are not observed in the same
manner as single through-going cracks in a cross section, but rather as several discrete
cracks which are apparently not through-going. However, if the cracks are interconnected
in such a manner that a hypothetical body in which all reinforcement (main reinforcement
and fibres) were removed is substantially incapable of transferring the tensile load
(perpendicular to the crack system), this does in fact represent "cracks passing the
reinforcement" in the context of the present specification.
[0120] If the base matrix cracks are interconnected so that they would substantially permit
fluid transfer to a substantial part of the zone in question passing the main reinforcement,
this will also often represent "cracks passing the reinforcement". In this connection,
the fluids are, of course, fluids which are able to penetrate into even fine base
matrix cracks, but not able to penetrate into the surrounding non-cracked material.
[0121] If the base matrix cracks are not interconnected, so that the material is rather
in a state where the transfer of loads in a hypothetical system with removed main
reinforcement and removed fibres would still be possible (and especially if fluid
transfer through the crack system cannot take place either), this is characterized
in the present context as cracks which do not pass the reinforcement.
[0122] Fig. 11 shows composite structures with cracks passing and not passing the main reinforcement,
respectively. In Fig. 11, 1 represents main reinforcement bars, and 2 represents a
matrix. A shows a composite structure with a crack 3 passing the main reinforcement.
B shows a composite structure with a crack 4 passing the main reinforcement, the crack
4 being visualized as separate, not through-going cracks in a section. The inter-connection
between the cracks 4 in the section would be visible only in a three-dimensional picture
(layers of parallel sections). C (and D which is an enlargement of a part of C) show
a composite structure with small local cracks 5 not passing the reinforcement. The
location of each individual small crack is substantially independent of the location
of the other cracks.
Article and Structure
[0123] In the present specification and claims, the term "article" or "shaped article",
when used about the articles of the invention, designates an article which comprises
a "CRC structure". A "CRC structure" is a fibre-reinforced matrix A in which a high
concentration of reinforcement B is embedded, the matrix and the reinforcement and
their co-operation fulfilling the structural or and/or functional definitions given
in the claims herein. In other words, the article need not consist exclusively of
the CRC structure; it may comprise other structures, but the article as such will,
of course, comply with the functional definitions of the articles given in the claims
hereof.
[0124] Fig. 12 shows a cross section of a beam being an article according to the invention.
The beam comprises a fibre-reinforced matrix throughout its cross section. In the
matrix are embedded reinforcing bars. 1 designates an upper part of the fibre-reinforced
matrix in which a relatively low concentration of reinforcement 3 is present. 4 represents
a lower part of the fibre-reinforced matrix in which a high concentration of reinforcement
2 is present. In the article of Fig. 12, the lower matrix part 4 with the highly concentrated
reinforcement 2 constitute the CRC structure, that is, the structure where the ductile
matrix and the heavy reinforcement co-operate to establish the novel behaviour characteristic
of the CRC materials as defined by structural and/or functional definitions in the
claims herein. The beam in its entity is an article according to the invention, provided,
of course, that the beam as such conforms with the definitions in the claims herein
- these definitions either defining the structural and/or functional characteristics
of the article, and/or defining the structural and/or functional characteristics of
constituents of the article, such as the matrix and the reinforcement and their relative
amounts and/or co-operation.
Normalized loads and deformations - formalized stresses and strains
[0125] In order to compare mechanical behaviour of different materials based on experience
with members of the different materials, but of different sizes and shapes, it is
necessary to do this in a manner which is independent on the geometry of the members.
[0126] Thus, e.g., when it is desired to compare the bending behaviour of ordinary concrete
determined on plates with thickness H = 8.1 cm and with width B = 8 cm with the bending
behaviour of smaller CRC beams (H = 5 cm, B = 5 cm), the bending moment (M) of the
plates and the beams, respectively, is divided by the respective resisting moments
(1/6 BH²) (referring to cross section) to obtain the "normalized bending moments"

By dividing with BH², the effect of size is eliminated. By use of the numerical value
1/6, the normalized bending moment becomes identical to the stress in the most strained
zone of a body of the same size and shape and under the same load conditions as the
body in question - but showing ideal linear elastic behaviour (in the following termed
"the elastic analog body"). Therefore, in the present specification, the normalized
bending moment is sometimes also termed formalized bending stress or, for brevity,
bending stress.
[0127] The use of formalized stresses - calculated on "the elastic analog body" - is not
limited to members in bending; it is used for any type of loading and any type of
stress.
[0128] As the present discussion of stresses predominantly deals with a unique behaviour
of materials in tension, it is to be understood that when bending stresses are discussed
herein, these are stresses in tension unless otherwise indicated.
[0129] Quite generally,
normalized forces or
moments are expressed as
formalized stresses referring to the
maximum tensile stress in "the elastic analog body".
[0130] Thus, the formalized stresses can be calculated by using the theory of elasticity
applied on "the elastic analog body".
Strain
[0131] The determination of how a
material deforms, based on deformations of
bodies made of the material, is done by normalization similar to that used above for forces
and moments, in other words, based on the behaviour of the "elastic analog body".
[0132] The material deformation is expressed as
strain (change in length per unit length).
[0133] Thus, from measurements of deformations - such as deflection of beams - the strain
(e.g., at the outermost strained part of the beam) is calculated as the strain on
the "elastic analog beam" subjected to the same deflection.
[0134] In accordance with this, the normalized deformations are herein termed formalized
strains or, for brevity, strains.
[0135] The term bending strain, as used herein, refers to the part which is most strained,
e.g., at the bottom surface in the middle of beams loaded in bending.
[0136] Strain may also be measured directly by means of strain gauges, and the values thus
measured may also be used directly as strain values in the meaning discussed above
- provided, of course, that the measurements really represent the average deformations
of the body and not, e.g., local "strain" fluctuations in a small part of the surface
of a multi-cracked concrete beam situated between two cracks in the concrete surface.
Modulus of Elasticity
[0137] The stiffness of the CRC structure and the constituents forming the structure, that
is, matrix, base matrix, etc., plays an important role in the present invention, as
the invention deals exclusively with "stiff" articles and materials, the stiffness
being expressed as
modulus of elasticity.
[0138] According to the same principle as applied above for stress and strain, the modulus
of elasticity is defined with reference to the behaviour of "the elastic analog body".
Thus, e.g., the modulus of elasticity (E-module) of the beams in Example 2 herein
was calculated from the force/deflection relationship determined as the E-module of
the elastic analog beams which under the same load would have the same deflection.
[0139] Stiffness (E-module) is not a material constant as, in real materials, the stiffness
depends on the stress level and on the the loading time. Thus, the E-module decreases
with increasing load, such as is illustrated in Example 2 herein. Furthermore, the
E-module increases with decreasing loading time, such as illustrated by the results
of determinations based on pulse velocity measurements, cf. Example 1. However, as
it is envisaged that the main function of CRC will normally be to carry large load
which will be applied at moderate rate, such as in the examples herein, the modulus
of elasticity (E-module) as used in the present specification and claims, is calculated
on the basis of experiments where loads of at least 5% of the yield value are applied
during periods of 10-1000 sec. If, in a particular situation, the modulus of elasticity
is determined under conditions outside the conditions stated above, a correction of
the determined modulus of elasticity should be made based on sound scientific principles
in order to relate the thus determined values of the modulus of elasticity to the
values and ranges stated in the present specification and claims.
[0140] The ratio between the strain perpendicular to the load and the strain in the direction
of the load (Poisson's ratio) plays a role for the elastic response of a body; thus,
e.g., a constrained body shows a larger stiffness in the direction of the load than
a body which is free to expand perpendicular to the direction of the load. In the
present context, the modulus of elasticity refers to uniaxial stress load on bodies
with no constraints perpendicular to the load direction. For other load conditions,
the correct values of Poisson's ratio should be used. for matrix materials and base
matrix materials of the types used in Examples 1-7, the value of 0.20 is an appropriate
Poisson's ratio.
Resistance to Compression
[0141] In the present specification and claims, reference is made to the resistance to compression
of 1) articles, 2) matrix, and 3) base matrix.
[0142] When reference is made to the resistance to compression of the matrix A or the base
matrix B, this will normally be the compression strength of test specimens prepared
from the matrix material in connection with the preparation of the article comprising
the matrix.
[0143] For the fibre-reinforced matrix, the resistance to compression may also be determined
1) on a test specimen cut out from the article in question - such as cut out from
a part of the article which is not heavily reinforced (such as from the zone normally
considered to be in compression), or
2) from measurements on the article performed in the zone which is not heavily reinforced,
such as unreinforced compression zones in a plate or beam.
[0144] For the article, the resistance to compression will refer almost only the tests performed
on the article.
[0145] The resistance to compression - for example determined as a compressive strength
- is dependent on the size and shape of the test body and the method of testing.
[0146] Thus, the compressive strength measured on slender members (e.g., large cylinders
with a high length/diameter ratio) is smaller than the compressive strength measured
on compact-shaped members (such as short cylinder), the compressive strength measured
on large specimens is smaller than the compressive strength measured on small specimens,
and the compressive strength determined at slow application of the load is smaller
than the compressive strength measured by fast application of the load.
[0147] The compressive strength referred to in the present specification and claims are
compressive strengths determined under the following conditions:
the specimens are
1) cylinders of diameter 100 mm and length 200 mm 2) in uniaxial compression 3) loaded
with a steadily increasing load, the duration of the test being 100-1000 sec.
[0148] If, in a particular situation, the compressive strength is determined under conditions
outside the conditions stated above, a correction of the determined compressive strength
should be made based on sound scientific principles in order to relate the thus determined
values of the compressive strength to the values and ranges stated in the present
specification and claims.
[0149] Quite generally, measurements of modulus of elasticity and compressive strength of
the matrix or of the base matrix should, of course, be performed on the materials
as they appear in the relevant articles.
Volume Concentration of Fibres
[0150] is defined as the volume of fibres in the matrix A divided by the volume of the matrix
A (= the volume of fibres in the matrix A divided by the sum of the volume of the
fibres and the volume of the base matrix C).
Volume Concentration of the Reinforcement B (Main Reinforcement)
[0151] The volume concentration of the reinforcement B normally refers to reinforcement
arranged substantially parallel and in the direction of the tensile stress, such as
in the tensile side of a beam.
[0152] In a pure tensile member with constant cross section, the volume concentration of
the reinforcement B is simply the volume of reinforcement B (reinforcement in the
direction of the tensile stress) divided by the total volume of the member - which,
with reference to a cross section area, is equal to the cross section area of the
reinforcement divided by the total cross section area of the member.
[0153] In the case of a bending-loaded member, such as a beam (e.g., with an upper part
in compression and a lower part in tension), the volume (or the section area) in question
refers to the tensile-loaded part only, in other words, the volume of reinforcement
B in the tensile zone divided by the total volume of said zone (or the corresponding
cross section area ratio).
[0154] The tensile zone is defined as the zone in tension of "the analog elastic body",
or as the actual tensile strained zone as measured, e.g., by means of strain gauges.
[0155] In cases where the reinforcement B is not arranged substantially parallel to the
direction of the tensile strain, the volume concentration of the reinforcement B is
calculated by multiplying the actual volume of reinforcement B determined as explained
above with the cosine of the angle between the direction of strain and the direction
of the reinforcement B.
[0156] It will be noted from the explanation given above that the volume concentration of
the reinforcement B is a direction-dependent value, "a vector". In the beam cases,
the volume concentration will typically be unidirectional. In a plate or panel reinforced
in directions perpendicular to each other, it is possible that the requirement to
the volume concentration of the reinforcement B is fulfilled in any direction within
the plane of the plate or panel, or the requirement may be fulfilled only in one direction
or a certain angle space of directions; as long as the condition is fulfilled in one
direction, the structure is, of course, a structure according to the present invention
(provided the other conditions as herein defined of the claims are fulfilled). A particularly
interesting aspect of the invention is a CRC structure in which the requirement to
the volume concentration of the reinforcement B is fulfilled in any direction (such
as is discussed, e.g., in connection with the concept of transverse reinforcement).
COMPONENTS AND CRC STRUCTURES
[0157] In order to ensure the exceptional mechanical behaviour of the CRC structure, including
a high three-dimensional stiffness, it is required that the matrix itself has a high
strength (especially in compression) and a high modulus of elasticity in order to
confer a high stiffness to the CRC structure. In addition, it is required that the
matrix has a high ductility obtained by an efficient fibre reinforcement and a suitable
matrix/fibre interaction.
[0158] In the following, the selection of the components of the matrix will be discussed.
The discussion will be based on the above-explained model conditions ( I ) and ( II
) as a useful overall guide in the proper selection of the components and their interaction.
Compressive Strength of Base Matrix, ( σm )
[0159] In order to secure a high resistance to compression, it is required that the matrix
has a high compressive strength, and in order to obtain this, it is required that
the base matrix C itself has a high compressive strength. One type of useful base
matrix materials are dense matrices based on densely packed particles of a size of
from 0.5 µm to 100 µm with ultra-fine particles of a size of from 50 Å to 0.5 µm and
being 1 power of 10 smaller than the above-mentioned densely packed larger particles
homogeneously distributed between the densely packed larger particles, the dense packing
of the matrix and the homogeneous distribution of the ultra-fine particles being secured
by overcoming surface forces by utilizing an effective amount of an effective dispersing
agent. This class of material (the so-called DSP materials) and its preparation are
described in the International Patent Publication No. WO80/00959, in the International
Patent Publication No. WO81/03170, and in the Ottawa Paper and are also described
in greater detail in the present application, including Examples 1-7 where a cement/microsilica-based
embodiment of these materials having a strength of 155 MPa was used as the base matrix
C (with stronger sand, Portland cement/microsilica-based DSP materials with compressive
strengths up to about 270 MPa are known, vide the Ottawa Paper.
Modulus of Elasticity of the Base Matrix and the Fibres ( Em, Ef )
[0160] In order to obtain the desired strain-hardening, it is important that the components
(matrix and fibre) have a high rigidity, i.e. a large modulus of elasticity. This
also conforms with the overall requirement of high stiffness.
[0161] In connection with strain-hardening, the building up of stresses occurs by mechanisms
where matrix and fibres function in series, the size of the stresses being determined
by the rigidity of the coupled system.
[0162] This means that the behaviour is primarily determined by the softest component.
[0163] For systems with a very rigid matrix (for example with E
m = 5 x 10¹⁰ N/m²) and a fibre content of 5-10%, the fibre component ( E
f x φ ) will be the softest, and thus decisive component as long as E
f is below 0.5 - 1 x 10¹² N/m². It should be noted that the rigidity of the traditionally
strong fibres is considerably lower than the above values. This means that the fibre
rigidity is the decisive factor in such systems. Thus, steel fibres with a modulus
of elasticity of 2.1 x 10¹¹ N/m² are 3 times better for securing "strain-hardening"
than glass fibres with a modulus of elasticity about 7 x 10¹⁰ N/m² (provided that
all other conditions are identical).
[0164] This also means that high strength plastic fibres which are very promising for many
other purposes and which have a very high strength, but have a considerably lower
modulus of elasticity than for example steel are generally not promising to the same
extent in connection with the establishment of strain-hardening. On the other hand,
organic fibres with high modulus of elasticity (such as Kevlar fibres, aromatic fibres,
high strength polyethylene, etc.) are, of course, of great interest for the purpose
of obtaining strain-hardening of the matrix A.
[0165] In spite of their deficiencies mentioned above, even high strength plastic fibres
which do not have a high modulus of elasticity are of value in the present invention
as logical candidates, for example, in systems with considerably softer matrix materials,
and they are also particularly useful in controlling cracks.
[0166] The matrix rigidity becomes dominant in systems with very rigid fibres if the matrix
material itself is not very rigid (for example, in systems with 10% of steel fibres
( E
f = 2.1 x 10¹¹ N/m²), the matrix rigidity will have a greater importance than the fibre
rigidity when the modulus of elasticity of the matrix is less than 2 x 10¹⁰ N/m².
[0167] This means that the matrix rigidity is often of great importance. For example, incorporation
of quartz particles in the cement silica binder resulted in a pronounced improvement
of the rigidity of the matrix from probably about 2 x 10¹⁰ to 5 x 10¹⁰ N/m². Together
with steel fibres (6%), the incorporation of quartz particles may have improved the
conditions for strain-hardening by 30-40%.
[0168] While an improvement of 30-40% is interesting, a much greater improvement is obtained
in plastic materials where, for example, incorporation of rigid, strong particles
in a high concentration in an organic polymer material may be capable of increasing
the modulus of elasticity from 1 x 10⁹ to 3 x 10¹⁰ N/m² and thereby increase the contribution
to strain-hardening derived from rigidity alone by a factor of the order of 10.
[0169] According to the present invention, the modulus of elasticity of fibres incorporated
in the matrix, E
f, is preferably at least 2 x 10¹⁰ N/m², more preferably at least 5 x 10¹⁰ N/m², still
more preferably at least 10¹¹ N/m², still more preferably at least 2 x 10¹¹ N/m²,
still more preferably 3 x 10¹¹ N/m² and most preferably at least 4 x 10¹¹ N/m², and
the modulus of elasticity of the matrix material, E
m, is preferably at least 10¹⁰ N/m², more preferably at least 2 x 10¹⁰ N/m², still
more preferably at least 3 x 10¹⁰ N/m², still more preferably 5 x 10¹⁰ N/m², still
more preferably 7 x 10¹⁰ N/m², and most preferably at least 10¹¹ N/m².
[0170] Thus, in Examples 1-7, the steel fibres used had a modulus of elasticity of 2.1 x
10¹¹ N/m², and the modulus of elasticity of the base matrix was slightly above 5 x
10¹⁰ N/m².
[0171] The materials used as base matrix C in the examples were based on strong cement/microsilica
based binders and quartz sand and, in one example, also Al₂O₃-rich sand (Example 6).
These base matrices had compressive strengths in the range of 150-200 MPa and a modulus
of elasticity in the range from about 50,000 to about 70,000 MPa.
[0172] Examples of suitable base matrices C based on Portland cement, microsilica and strong
sand and stone are disclosed in International Application Publication No. WO81/03170
and in the Ottawa Paper which describes materials with Al₂O₃-rich sand and showing
a dynamic modulus of elasticity of 108,000 MPa.
[0173] Although the base matrix in important embodiments of the CRC structures is based
on cement, such as Portland cement, aluminous cement, slag cement, etc., it may, of
course also be based on any other material which is able to fulfill the necessary
mechanical requirements, including surface-physical and chemical compatibility and
adaptability between the constituents of the material and surface-physical and chemical
compatibility and adaptability with the fibres to be incorporated and with the main
reinforcement with which the matrix is to be combined.
Fracture Energy of Base Matrix, Gm
[0174] In order to obtain overail ductility, it is of importance to have a high fracture
energy of the base matrix. Thus, strain-hardening by means of fibre reinforcement
is also dependent on the fracture energy G
m of the matrix material which is of the same importance (relatively) as E
f (or E
m), τ and d (the fracture energy is the energy necessary to create 1 m² crack area).
[0175] This important fact which is almost unknown plays a fundamental role in the present
invention.
[0176] Thus, an essential aspect of the invention is to impart an increased fracture energy
to the matrix materials by incorporating hard strong (not too small) particles (which
also, as a very positive feature, increase E
m).
[0177] This is a surprising strategy on the background of known technology which normally
intentionally goes in exactly the opposite direction. The fact is that introduction
of stiff particles
reduces the strain capacity of the matrix material in bulk, for which reason classical good
technology concludes that matrix reinforcement with stiff compact particles reduces
the capacity of the matrix to follow the movements of the main reinforcements in a
reinforced structure.
[0178] These classical technology points of view are basically sound and are of great general
validity.
[0179] However, they are not valid in matrix systems which are strain-hardened, where the
size of the crack zone deformation is decisive.
[0180] For example with reference to Examples 1-7, classical technology would have suggested
the use of pure cement silica binder as matrix (instead of the concrete with up to
4 mm quartz particles). The strain capacity of such a binder may be 2 times larger
than the strain capacity of the matrix with quartz particles (measured in bulk), and
the binder material is excellently suited for fixing the fine fibres. From the point
of view of fracture mechanics, however, a high price is paid for using this binder:
the fracture energy ( Gm ) is reduced to about 1/10 when going from concrete to the
pure binder, and the modulus of elasticity is decreased to 1/5-1/3. This means that
the conditions for strain-hardening (cf. I and II above) are considerably worse. This
surprising fact is of great importance not only to cement based materials, but also
in connection with reinforced polymer materials where the "reversed method" for creating
ductility (incorporation of a high concentration of hard and strong compact particles)
will at the same time result in "new properties" which are normally not compatible
with polymer based constructions such as
1) high rigidity (volume stability)
2) high abrasion resistance
3) high compressive strength.
[0181] With respect to, e.g., cement systems, such as mortar and concrete, it is preferred
that the base matrix has a fracture energy of at least 20 N/m, preferably 40 N/m,
more preferably 80 N/m, still more preferably 100 N/m, still more preferably 120 N/m,
still more preferably 180 N/m, still more preferably 250 N/m, still more preferably
400 N/m, still more preferably 800 N/m.
[0182] Thus, in Examples 1-7, the fracture energy of the non-reinforced base matrix (C)
was about 130 N/m.
Fibre Strength ( σf )
[0183] A high fibre strength is required in order to confer high ductility and high tensile
strength to the matrix.
[0184] The fibre strength is not part of the above-explained criterion for obtaining strain-hardening,
cf. the formulae above. However, strain-hardening is, of course, only obtained as
long as the tensile strength of the fibres is so high that the fibres alone can carry
the tensile load. Thus, a necessary condition is that the fibres have a tensile strength
of at least
However, it is also important that the fibres are considerably stronger than corresponding
to minimum, and they should be sufficiently strong to resist a high degree of strain-hardening,
and also be effective even after the matrix has cracked.
[0185] Thus, it is preferred that the strength of the fibres is larger than 300 MPa, preferably
larger than 500 MPa, more preferably larger than 800 MPa, still more preferably larger
than 1,000 MPa, still more preferably larger than 1,500 MPa, still more preferably
larger than 2,000 MPa, still more preferably larger than 2,500 MPa, and most preferably
larger than 3,000 MPa.
[0186] Thus, the fibres used in Examples 1-7 had a strength of about 525 MPa.
Fibre Concentration ( φ )
[0187] It is essential to work with a high fibre concentration in order to achieve overall
ductility, strain-hardening and high tensile strength. However, this is difficult
in practice in connection with the production of usual fibre reinforced materials
such as concrete or mortar which are natural candidates for matrices in reinforced
structures. For example, it is difficult to incorporate more than 1-2% of fibres in
traditional concrete, even in non-reinforced concrete or in concrete with only low
content of large reinforcement.
[0188] With a high concentration of the main reinforcement B it will be even more difficult
to incorporate a high concentration of fibre reinforcement. Incorporation of 1% of
fibres in articles with an arrangement of main reinforcement as in Examples 1-6 would
probably be considered unrealistic by most persons skilled in the art, for which reason
this would be considered impossible in structures with 20 or even 50% of main reinforcement.
However, in accordance with the present invention, this is solved by using vibration
techniques as described herein. For example, 6% by volume of 150 µm diameter steel
fibres of a length of 6 mm were incorporated in the "concrete" in heavily reinforced
beams in Examples 1-4 and in a model casting (Example 7) using 27% by volume of main
reinforcement consisting of 16 mm diameter and 10 mm diameter steel bars.
[0189] In accordance with the present invention, the fibre volume in the matrix A is at
least 2%, preferably at least 3%, more preferably at least 4%, still more preferably
at least 5%, still more preferably at least 7%, still more preferably at least 10%,
still more preferably at least 15%, and most preferably at least 20%, calculated on
the matrix A.
[0190] It is also often essential to have very fine fibres (small diameter ( d )). The use
of fibres having a diameter of 10-20 µm is a very interesting aspect of the invention
and is especially suitable to fine powder based structures, prepared by special techniques
such as rolling, extruding, spinning, etc. However, it is also possible and interesting
to use coarser fibres, for example in concrete systems and concrete-like systems.
[0191] The steel fibres used in Examples 1-7 have a diameter of 150 µm. Thus, they are 10
times larger than the above mentioned very fine fibres, but are still thin compared
to the steel fibres normally used in concrete which typically have a diameter of about
0.3-1 mm.
[0192] There are several reasons for selecting somewhat coarser fibres than 10-20 µm fibres
in the experiments of the examples herein where the base matrix C was a cement/microsilica
mortar with coarse particles of a maximum diameter of 4 mm:
1) They are easier to incorporate from the point of view of process technology.
2) They are in better geometric harmony with the coarser particles.
3) They often show better load carrying capacity and energy absorption after local
fracture formations in the matrix material.
4) A somewhat larger diameter may, as will be shown in the following, be compensated
for, i.a. by the increased fracture energy (G) of the base matrix (C) which becomes
possible due to the "coarser" structure.
[0193] However, in other valuable CRC structures according to the invention, the use of
very fine fibres may be desirable, e.g., in micro CRC structures such as fine ceramics
based on submicron-size powder and, e.g. 1-10 µm diameter whiskers.
[0194] The size (diameter) of the fibres may thus vary within rather wide limits, such as
over the ranges 4-1 mm, 1-03. mm, 300-100 µm, 100-30 µm, 30-10 µm, or less than 10
µm. In each particular case, the size of the fibres should be adapted to the system
in accordance with the principles disclosed herein.
[0195] An interesting aspect of the invention is to divide the crack impeding functions
and the load carrying functions after the matrix has cracked locally so that extremely
fine fibres perform the former function whereas coarser fibres perform the latter
function. Thus, it may be of interest to combine fibres of a size in the fine range,
e.g., 30 to 10 µm, with fibres of a size in the coarser range, 300 to 100 µm, or,
in a generally coarser system, to combine fibres in the range of 100 to 200 µm with
fibres of a size in the range of 4 to 1 mm.
Shear Stress Between Fibres and Matrix at Sliding ( τ )
[0196] The strain-hardening and the obtainment of the overall ductility are conditioned
by a very small well-controlled movement between fibre and matrix. To control this
small movement, the shear resistance ( τ ) has to be large.
[0197] A high shear resistance may be established by securing high adhesion between fibre
and matrix and high frictional resistance. The adhesion is related to atomic bonds
(including surface forces, for example London van der Waal's forces) between the two
phases. The frictional resistance is a combination of a friction coefficient and an
established normal pressure. Thus, high frictional resistance is promoted by measures
which make the matrix material tightly fix the fibres such as is typically the case
in the solidification of matrix materials due to solidification contraction.
[0198] In this connection, it is beneficial that the bodies (fibres) have such a shape that
any matrix contraction taking place will enhance the desired tight fixation (for example
circular cross section).
[0199] According to the invention, it is preferred that the shear stress between the fibres
and matrix at sliding is at least 5 MPa, preferably at least 10 MPa, more preferably
at least 20 MPa, still more preferably at least 40 MPa, and most preferably at least
100 MPa.
[0200] Thus, in Examples 1-7, the shear stress at sliding between the fibres and the base
matrix was about 20 MPa.
Fibre Length ( L )
[0201] In many cases fibres are used in the form of chopped fibres. The length of chopped
fibres is no part of the criterion model, vide above. However, this only applies as
long as the fibre length is larger than the critical length L
c determined by

If the fibres are shorter, they will be drawn out before strain-hardening is established.
[0202] For fibres which are longer than the critical length (and have a higher strength
than the critical strength) fracture will result in either the fibres being torn over
or drawn out, cf. the criterion.
[0203] It will often be desirable that fracture occurs by pull out of the fibres, because
this implies a reserve with respect to energy absorption.
[0204] On the other hand, if the fibres are too short, strength and energy absorption will
be low.
[0205] From a functional point of view, it is optimal to select such fibre lengths that
the pull out resistance is slightly lower than the force required to rupture the fibres.
Reinforcement
[0206] In order to obtain a good performance (strong fixation of the matrix, large load
capacity, etc.) it is necessary that the reinforcement has a high strength and a high
modulus of elasticity. The strength is preferably higher than 400 MPa, more preferably
higher than 600 MPa, more preferably higher than 800 MPa, and most preferably higher
than 1,000 MPa, and the reinforcement should have a modulus of elasticity which is
preferably higher than 5 x 10¹⁰ N/m², more preferably higher than 7 x 10¹⁰ N/m², still
more preferably higher than 10¹¹ N/m², still more preferably higher than 2 x 10¹¹
N/m², and most preferably higher than 3.10¹¹ N/m².
[0207] In order to obtain the substantial increase of the tensile strain capacity in CRC
structures, it is essential to establish a good fixation of the main reinforcement
in the fibre reinforced matrix.
[0208] In many cases, this is obtained by use of deformed steel bars having profiled surfaces,
cf. the examples.
[0209] Such reinforcement typically has moderate, but not extremely high strengths. Extremely
high strengths are known, for example, in cold drawn smooth steel wires of the kind
traditionally used in pre-stressed concrete.
[0210] For example, deformed steel bars typically have yield stresses of about 500-600 MPa,
whereas pre-tensioning wires may have yield stresses up to about 2,000-2,500 MPa.
[0211] The problem is that the very strong reinforcement will typically, due to the production
methods used (typically drawing) also be smooth and therefore normally cannot be fixed
to the matrix in the same effective manner as the profiled reinforcement.
[0212] However, there is a number of ways in which the possibilities for utilizing high
strength reinforcement in CRC may be improved:
1. By using profiled reinforcement of higher strength than normally, e.g., with strengths
of about 1,100 MPa, typically obtained by use of special steel alloys.
2. By modifying the matrix to ensure a better fixation of a more smooth reinforcement,
for example by incorporation of organic materials, such as water-soluble polymers.
3. By a better fixation of the reinforcement in the matrix by establishing a condition
with radial compression, for example by pre-tensioning the reinforcement or by shrinking
the matrix around the reinforcement, for example by thermal means.
4. By arranging a strong, smooth reinforcement as twisted wires such as known from
cordage and cables.
[0213] It should be noted that a good fixation in general is enhanced by means which reduce
the local brittleness number of the matrix σ
o²D/EG. Thus, the fixation will be improved by using thinner reinforcing components.
[0214] An interesting reinforcement configuration combines medium strength profiled reinforcement
such as the deformed bars used in Examples 1-7 and ultra-high strength smooth reinforcement
such as thread used in pre-stressed concrete, these two types of reinforcement being
arranged parallel to each other.
[0215] The profiled reinforcement has the main responsibility for the increase of the strain
capacity of the matrix, whereas the two reinforcement types both contribute in transferring
the loads in the direction of the reinforcement.
[0216] For example, a combined reinforcement with 10% of profiled reinforcement with a yield
stress of 500 MPa and 5% high strength wire with a yield strength of 1,500 MPa will
have a load transfer of initial yielding of the high strength wire corresponding to
a formal tensile stress of 175 MPa in the CRC material (in addition, there is, of
course, a tensile contribution from the matrix). The same tensile capacity in systems
exclusively based on profiled reinforcement would require as much as 35% of reinforcement,
as compared to the 15% reinforcement in the system with combined reinforcement.
[0217] In systems with a combined reinforcement of this kind, a good fixation of the ultra-strong
(often smooth) reinforcement is required, but the fixation requirements are not nearly
as high as the fixation requirements for conferring a high increase of the strain
capacity of the matrix.
[0218] The fixation of the ultra-strong reinforcement is improved by means of reducing the
local brittleness number σ²D/EG. Thus, it is advantageous to use the ultra-fine reinforcement
in the form of very fine wires.
[0219] Normally, the use of a very fine main reinforcement results in a small ductility.
In systems with a combined reinforcement, this is, however, not the case, as the profiled,
typically much coarser, reinforcement ensures a high ductility.
[0220] The fixation of the ultra-strong reinforcement may also be obtained by special end
fixations, such as it is known from pre-stressed concrete, for example by means of
anchors arranged at the exterior of the CRC.
[0221] In the following, interesting combinations of components and properties which characterize
CRC articles are discussed:
CRC Structures Which Combine High Load Capacity and High Internal Coherence
[0222] One aspect of CRC is articles which are capable of functioning as substantially coherent
structures even after having been subjected to very large loads.
[0223] With the invention, it is now possible (and even beneficial) to effectively utilize
very densely arranged main reinforcement (very small spacing between bars) placed
also very close to the surface (small covering layer) to create structures showing
substantial coherence even under very large tensile loads. Thus, articles of the invention
are able to carry very high loads and to remain crack-free under tensile strains right
up to the yielding of the main reinforcement.
[0224] Structures according to the invention may, however, also show excellent coherence
even after the formation of fine cracks passing the main reinforcement (similar to
what happens in ordinary reinforced concrete) and thus be able to perform excellently
under far higher loads than the upper value of loads which are possible when it is
required that the structure should be free from cracks passing the main reinforcement.
[0225] Actually, in most cases, the structures of the invention show substantially coherent
behaviour even if they show fine cracks in the base matrix passing the main reinforcement,
provided
1) the cracks are finely divided and not interconnected
2) the cracks are small (typically smaller than 0.1 mm in width),
3) the cracks are well controlled by the reinforcement, and
4) the structure does not show any substantial reduction in rigidity.
[0226] Due to the high toughness of the fibre reinforced matrix and the extremely strong
fixation of the main reinforcements to the matrix, development of the fine cracks
passing the main reinforcement is in fact far better controlled than in conventional
reinforced concrete and has far less effect on the mechanical behaviour (e.g., reduction
in stiffness) than is the case in known art structures:
1) The cracks will appear substantially as fine base matrix cracks (fine cracks passing
the fibres) which are still being controlled by the fibres. These fine cracks will
typically be of widths of about 5 to perhaps 200 µm, and the cracks will be capable
of transferring substantial loads (through the fibres).
2) The cracks develop to a lesser extent (in the plane of the cracks), the crack development
stopping when the tensile stresses become smaller than a critical value, this value
being very high, for example for the materials of Examples 1-6 corresponding to stresses
in the matrix alone of about 10-20 MPa, and the overall tensile stresses of the composite
(reinforcement + matrix) being in the range of 130-220 MPa.
[0227] Because of the possibility of effectively utilizing very high concentration of main
reinforcement with retention of an extreme coherence, the CRC articles may also be
characterized as articles showing a unique combination of high load capacity in tension
(large formal tensile stresses) and retention of an excellent internal coherence (defined
by the crack pattern).
[0228] Another aspect of the exceptional behaviour under large load is the capability of
the structure to act as a very rigid body even under conditions where fine cracks
are formed under very high load.
[0229] Normal reinforced concrete looses a considerable part of its stiffness by formation
of cracks in the tensile zone, the cracks passing the main reinforcement. This is
due to the major part of the tensile load being transferred by the reinforcement only.
In similar CRC structure even with finely divided cracks, the cracks are able to transfer
a considerable amount of tensile load, and the propagation of the cracks in the plane
of the cracks is much smaller than in conventional concrete. This results in far stiffer
structures than conventional cracked reinforced concrete structures. This is due to,
inter alia, (1) the cracks being able to transfer a considerable load in tension across
the crack, (2) the crack size in the plane of the cracks being smaller, (3) the initial
modulus of elasticity of the matrix typically being higher, (4) the effect of the
reinforcement typically being higher because of a larger concentration of reinforcement.
[0230] Based upon this, CRC articles may be defined as a shaped article comprising a matrix
(A) with a reinforcement (B) embedded therein, the matrix (A) being a composite structure
comprising a base matrix (C) which is reinforced with reinforcing bodies (D) in the
form of fibres,
the transverse dimension of the main reinforcement being at least 5 times as large,
preferably at least 10 times at large, more preferably at least 20 times as large
or even at least 100 times as large as the transverse dimension of the fibres D,
the article and/or the matrix A, and/or the base matrix C having a high stiffness
in any direction as defined by
1) the modulus of elasticity of the article and/or of the matrix A and/or of the base
matrix C in any direction being at least 30,000 MPa, preferably at least 40,000 MPa,
more preferably at least 50,000 MPa, and still more preferably at least 70,000 MPa,
and/or
2) the resistance of the article and/or the matrix A and/or of the base matrix C to
compression in any direction being at least 80 MPa, preferably at least 100 MPa, more
preferably at least 130 MPa, still more preferably at least 150 MPa, still more preferably
at least 200 MPa, and most preferably at least 250 MPa,
the fibres D being present in a volume concentration of at least 2%, preferably at
least 3%, more preferably at least 4%, still more preferably at least 5%, still more
preferably at least 7%, still more preferably at least 10%, still more preferably
at least 15%, and most preferably at least 20%, calculated on the matrix A,
the volume concentration of the reinforcement B in the tensile zone or tensile zones
of the article being at least 5%, preferably at least 7%, still more preferably at
least 10%, still more preferably at least 15%, and most preferably at least 20%, the
article showing at least one of the following qualities I and II:
I) a large tensile strain capacity with retention of substantial coherence of the article as defined by the tensile
zone of the article having a tensile strain capacity of at least 0.5 mm/m, preferably
at least 0.7 mm/m, preferably at least 1 mm/m, more preferably at least 1.5 mm/m,
more preferably at least 2 mm/m, more preferably at least 3 mm/m, and most preferably
at least 10 mm/m, the article retaining substantial coherence during the straining
as defined by the absence of any cracks passing the reinforcement B, or by any damage
in the tensile zone in the form of fine cracks passing the reinforcement B having
a width of at the most 0.2 mm, preferably at the most 0.1 mm, more preferably at the
most 50 µm, still more preferably at the most 20 µm, still more preferably at the
most 5 µm, still more preferably at the most 2 µm, still more preferably at the most
1 µm, with the proviso that the ratio between the crack width and the smallest transverse
diameter of the reinforcement B is at the most 0.02, preferably at the most 0.01,
more preferably at the most 0.002, still more preferably at the most 0.008 and still
more preferable at the most 0.0002,
II) a large tensile load capacity (referring to stresses in the tensile zone of the article) defined by the tensile
load capacity fulfilling at least one of the following conditions A), B), and C):
A) under conditions of substantially elastic behaviour, the tensile load capacity
of the article corresponds to a tensile stress of at least 50 MPa, preferably at least
70 MPa, more preferably at least 100 MPa, still more preferably at least 130 MPa,
still more preferably at least 160 MPa, still more preferably at least 200 MPa, and
most preferably at least 230 MPa, with retention of coherence during the straining
as defined by the absence of any cracks passing the reinforcement B, or by any damage
in the tensile zone in the form of fine cracks passing the reinforcement B having
a width of at the most 0.2 mm, preferably at the most 0.1 mm, more preferably at the
most 50 µm, still more preferably at the most 20 µm, still more preferably at the
most 5 µm, still more preferably at the most 2 µm, still more preferably at the most
1 µm, with the proviso that the ratio between the crack width and the smallest transverse
diameter of the reinforcement B is at the most 0.02, preferably at the most 0.01,
more preferably at the most 0.002, still more preferably at the most 0.008, and still
more preferably at the most 0.0002,
B) under yielding, the tensile load capacity of the article corresponds to a tensile
stress of at least 70 MPa, preferably at least 100 MPa, more preferably at least 130
MPa, still more preferably at least 160 MPa, still more preferably at least 200 MPa,
and most preferably at least 230 MPa, with retention of coherence during the straining
as defined by the absence of any cracks passing the reinforcement B, or by any damage
in the tensile zone in the form of fine cracks passing the reinforcement B having
a width of at the most 1 mm, preferably at the most 0.5 mm, more preferably at the
most 250 µm, still more preferably at the most 100 µm, still more preferably at the
most 25 µm, still more preferably at the most 10 µm, still more preferably at the
most 5 µm, with the proviso that the ratio between the crack width and the smallest
transverse diameter of the reinforcement B is at the most 0.10, preferably at the
most 0.05, more preferably at the most 0.01, still more preferably at the most 0.004,
and still more preferably at the most 0.001,
C) under ultimate loading, the article shows a tensile load capacity corresponding
to at least 120 MPa, preferably at least 130 MPa, more preferably at least 160 MPa,
still more preferably at least 200 MPa, and most preferably at least 230 MPa.
Combination of High Stiffness and Increased Tensile Strain Capacity of the Matrix
[0231] As will be understood from the explanation of the physical principles underlying
the invention above, CRC articles may also be defined as a shaped article comprising
a matrix (A) with a reinforcement (B) embedded therein, the matrix (A) being a composite
structure comprising a base matrix (C) which is reinforced with reinforcing bodies
(D) in the form of fibres,
the transverse dimension of the main reinforcement being at least 5 times as large,
preferably at least 10 times as large, more preferably at least 20 times as large
or even at least 100 times as large as the transverse dimension of the fibres D,
the article and/or the matrix A, and /or the base matrix C having a high stiffness
in any direction as defined by
1) the modulus of elasticity of the article and/or of the matrix A and/or of the base
matrix C in any direction being at least 30,000 MPa, preferably at least 40,000 MPa,
more preferably at least 50,000 MPa, and still more preferably at least 70,000 MPa,
and/or
2) the resistance of the article and/or of the matrix A and/or of the base matrix
C to compression in any direction being at least 80 MPa, preferably at least 100 MPa,
more preferably at least 130 MPa, still more preferably at least 150 MPa, still more
preferably at least 200 MPa, and most preferably at least 250 MPa,
the fibres D being present in a volume concentration of at least 2%, preferably at
least 3%, more preferably at least 4%, still more preferably at least 5%, still more
preferably at least 7%, still more preferably at least 10%, still more preferably
at least 15%, and most preferably at least 20%, calculated on the matrix A,
the volume concentration of the reinforcement B in the tensile zone or tensile zones
of the article being at least 5%, preferably at least 7%, still more preferably at
least 10%, still more preferably at least 15%, and most preferably at least 20%, the
article showing an increase in tensile strain capacity of the matrix defined as
the amount, shape, arrangement, and performance of the reinforcement (B) being
adapted to the matrix (A) so that the strain capacity of the matrix (A) with the reinforcement
embedded therein is increased relative to the strain capacity of the matrix (A) in
bulk so that the ratio between the strain capacity of the matrix (A) with the reinforcement
embedded therein and the matrix (A) in bulk is at least 1.2, preferably at least 1.5,
more preferably at least 2, still more preferably at least 3, still more preferably
at least 5, still more preferably at least 10, still more preferably at least 20,
still more preferably at least 50, and most preferably at least 100.
Combinations of High Initial Stiffness and Large Strain Capacity During Yielding with
Retainment of Substantial Load-Carrying Capacity During Yielding
[0232] The CRC structures illustrated in Examples 1-4 have a very high strain capacity up
to (and at the beginning of) yielding, such as about 3-4 mm in substantially crack-free
condition.
[0233] As appears from, e.g. Fig. 27 which shows a force/deflection curve for a beam prepared
in claim 1, the CRC structure is able to transfer large loads at strains which strongly
exceed the yield strain of the article. Thus, after yielding of the 50x50x500 mm beam
carrying a large load of 30 kN had started at a deflection of about 5 mm, the deflection
increased steadily to more than 35 mm without any substantial decrease in the applied
load.
[0234] This large deformation capacity is due to the yielding capacity of the steel reinforcement.
[0235] Loading tests on large beams have also been performed (Example 2), but only aimed
at studying the behaviour up to yielding. If those experiments had been carried out
up to substantial yielding (which was not possible in the specific experimental set-up),
similar large yielding with retainment and perhaps even a slight increase of the load
would have taken place (except for the beams which failed in shear).
[0236] To secure substantial strain capacity after yielding, it is required that the reinforcement
is able to show substantial yielding and to do this with pronounced strain-hardening.
[0237] A test bar of the steel used in Example 1 started to yield at a stress of 500-510
MPa, whereupon the entire bar deformed 140 mm/m (14%) under steadily increasing load
and then failed at stresses of 610 MPa; in other words, the steel showed a large yielding
under increasing load.
[0238] Such large yielding of the main reinforcement under strain-hardening provides tools
for achieving similar tensile strain and yielding in CRC structures. By fixing the
matrix tightly to densely arranged reinforcement such as is characteristic to the
CRC structures, the matrix can follow the large strains of the main reinforcement
and remain substantially coherent even at strains of 50-150 mm/m.
[0239] This yield strain behaviour will be enhanced by
1) means creating strong fixation of the matrix to the main reinforcement, including
conferring ductility to the matrix, in other words, means which decrease the local
brittleness number, including the use of a main reinforcement which is not too thick,
2) the use of steel having a pronounced strain-hardening so that the strain will be
distributed over a large part of the volume (the effect of this is not so pronounced
in Example 1 because the most stressed volume was a rather small volume due to the
type of loading (a single concentrated force created maximum stresses very locally)).
[0240] Thus, the invention may also be defined as a shaped article comprising a matrix (A)
with a reinforcement (B) embedded therein, the matrix (A) being a composite structure
comprising a base matrix (C) which is reinforced with reinforcing bodies (D) in the
form of fibres,
the transverse dimension of the main reinforcement being at least 5 times as large,
preferably at least 10 times as large, more preferably at least 20 times as large
or even at least 100 times as large as the transverse dimension of the fibres D,
the article and/or the matrix A, and/or the base matrix C having a high stiffness
in any direction before yielding, as defined by
1) the modulus of elasticity of the article and/or of the matrix A and/or of the base
matrix C in any direction before yielding being at least 30,000 MPa, preferably at
least 40,000 MPa, more preferably at least 50,000 MPa, and still more preferably at
least 70,000 MPa,
and/or
2) the resistance of the article and/or of the matrix A and/or of the base matrix
C to compression in any direction before yielding being at least 80 MPa, preferably
at least 100 MPa, more preferably at least 130 MPa, still more preferably at least
150 MPa, still more preferably at least 200 MPa, and most preferably at least 250
MPa,
the fibres D being present in a volume concentration of at least 4%, preferably at
least 5%, more preferably at least 7%, still more preferably at least 10%, still more
preferably at least 15%, and most preferably at least 20%, calculated on the matrix
A,
the volume concentration of the reinforcement B in the tensile zone or tensile zones
of the article being at least 5%, preferably at least 7%, still more preferably at
least 10%, still more preferably at least 15%, and most preferably at least 20%,
the yield strain of the article being at least 10 mm/m, preferably at least 20 mm/m,
more preferably at least 30 mm/m, still more preferably at least 50 mm/m, still more
preferably at least 70 mm/m, still more preferably at least 100 mm/m, still more preferably
at least 150 mm/m, and most preferably at least 200 mm/m with retention of a load
capacity of at least 50%, preferably at least 70%, more preferably at least 80%, and
most preferably at least 90% of the maximum load applied during the course of loading
up to the yield in question.
[0241] Thus, in Fig. 27, the maximum load applied is seen to be the load just above 30 kN
at a deflection of 10 mm, and the beam retained a load capacity of at least 90% of
that value during the loading to more than 35 mm deflection (after which the experiment
stopped).
Combinations of Stiffness, High Concentration of Fibre Reinforcement in the Matrix
A, and High Concentration of Main Reinforcement
[0242] The invention may also be defined by referring to the combination of an extremely
high degree of fibre reinforcement of the stiff base matrix material C and an extremely
high main reinforcement. Thus, the invention may also be defined as
A shaped article comprising a matrix (A) with a reinforcement (B) embedded therein,
the matrix (A) being a composite structure comprising a base matrix (C) which is reinforced
with reinforcing bodies (D) in the form of fibres,
the transverse dimension of the main reinforcement being at least 5 times as large,
preferably at least 10 times as large, more preferably at least 20 times as large
or even at least 100 times as large as the transverse dimension of the fibres D,
the article and/or the matrix A, and/or the base matrix C having a high stiffness
in any direction as defined by
1) the modulus of elasticity of the article and/or of the matrix A and/or of the base
matrix C in any direction being at least 30,000 MPa, preferably at least 40,000 MPa,
more preferably at least 50,000 MPa, and still more preferably at least 70,000 MPa,
and/or
2) the resistance of the article and/or of the matrix A and/or of the base matrix
C to compression in any direction being at least 80 MPa, preferably at least 100 MPa,
more preferably at least 130 MPa, still more preferably at least 150 MPa, still more
preferably at least 200 MPa, and most preferably at least 250 MPa,
the fibres D being present in a volume concentration of at least 4%, preferably at
least 5%, more preferably at least 7%, still more preferably at least 10%, still more
preferably at least 15%, and most preferably at least 20%, calculated on the matrix
A,
the volume concentration of the reinforcement B in the tensile zone or tensile zones
of the article being at least 5%, preferably at least 7%, still more preferably at
least 10%, still more preferably at least 15%, and most preferably at least 20%.
Structures and Recipes
[0243] With respect to the configuration of the reinforcement and the recipes for the constituents
of the matrix, CRC covers a very broad spectrum. It is the interaction between the
components which is essential in distinguishing CRC with its remarkable effects from
known art phenomena which, to a large extent, might seem to utilize similar constructions
and similar recipes.
[0244] As an example, the following table shows two matrix structures with fibre reinforcement
showing the same degree of strain-hardening (according to the models I and II).
| Combination I |
Combination II |
| Gm = 100 N/m |
Gm = 20 N/m |
| Ef = 2 ·10¹⁰ Pa |
Ef = 7 ·10⁹ Pa |
| τ = 2 ·10⁷ Pa |
τ = 2 ·10⁷ Pa |
| φ = 0.06 |
φ = 0.06 |
| σo = 10⁷ Pa |
σo = 10⁷ Pa |
| d = 0.00015 m (150 µm) |
d = 0.000010 m (10 µm) |
[0245] Combination I could be based on a matrix with up to 4 mm sand particles and 6 mm
x 0.15 mm steel fibres, whereas combination II could be based on a pure cement/microsilica
matrix and microfibres of glass (length 0.4 mm, diameter 10 µm).
[0246] The fibre reinforced matrix I is especially suitable as a matrix in CRC with a main
reinforcement of a diameter of about 5-25 mm (adapted to the length of the fibres),
whereas the matrix II is especially suitable in finer CRC structures with a main reinforcement
with a diameter about 0.3-1.5 mm.
[0247] The use of the matrix II with the microfibres as a matrix in systems with a coarse
main reinforcement with a diameter of about 5-25 mm would not be as preferred as the
use of matrix I with respect to ductility in connection with the fixation of main
reinforcement.
[0248] Admittedly, identical degrees of matrix strain-hardening and largely the same matrix
tensile strength would be obtained, but the crack zone deformation ( Δ ) and fracture
energy (G) of the fibre reinforced matrix would be expected to be only about 1/15
of the corresponding values for the matrix I.
[0249] Despite this, there are, however, cases where extremely fine fibres can be utilized
very effectively in combination with coarse reinforcement. Thus, as an important aspect
of the invention, microfibre-based matrix materials may be very efficiently utilized
in systems with coarse main reinforcement by building up bi-modal (or multi-modal)
fibre systems.
[0250] For example, the micro glass fibre-reinforced matrix II might be combined with 6%
of chopped steel fibres with a diameter of 0.3 mm and length 12 mm in a bi-modal fibre-based
matrix ( III ), which then might be used together with a main reinforcement of a diameter
about 16-25 mm.
[0251] The bi-modally fibre-reinforced matrix III based on pure cement/silica binder is
distinguished from the matrix I with coarse sand and only one fibre component (6 mm
x 0.15 mm steel fibres) by showing:
1. a higher strain capacity
2. a higher tensile strength
3. a considerably larger crack zone deformation
4. a considerably larger fracture energy.
[0252] Thus, in these regards, the bi-modal fibre-reinforced matrix III is advantageous
over the matrix I. However, in certain other regards, matrix I may be preferable for
particular purposes: thus, matrix I will normally have a higher modulus of elasticity,
and it is easier to incorporate other functional components such as abrasion resistant
hard particles, e.g., in the from of 2-4 mm Al₂O₃-rich sand particles, in matrix I.
[0253] Thus, in view of the multitude of possible combinations, it is normally not possible
to define the invention unambiguously by recipes only, and also from another point
of view, such recipe definitions would not be sufficient either, as the necessary
mutual adaptations of surface-physical character (for example between the dispersing
agent, fine particles, fibres, etc. in the matrix), and the methods for preparing
the shaped articles do not appear from such recipe definitions.
[0254] However, in the following, novel recipes for materials and prescriptions for reinforcement
arrangements will be disclosed. These recipes and prescriptions are novel per se and
in combination and are believed to constitute valuable inventions in their own right,
as articles made utilizing these recipes in accordance with proper techniques for
preparing strong cement/microsilica matrices, as explained herein and as known from
the International Patent Publication No. WO 80/00959, the International Patent Publication
No. WO 81/03170, and the Ottawa Paper, will result in a valuable CRC structure with
its unique functional characteristics.
1. CRC with 5-40 vol% reinforcement consisting of bars with a transverse dimension
(diameter) of 4-25 mm, such as steel bars, embedded in a
fibre-reinforced matrix made with from 20 to 60 vol% of sand and stone with a maximum particle size of 10
mm, such as quartz sand or Al₂O₃-rich sand, from 4-20 vol% of fibres with a length
of 2-12 mm and diameter (smallest transverse dimension) from 50 µm to 400 µm, such
as steel fibres, and from 20-76 vol% of binder-forming material made from
20 - 50 vol% of water optionally containing water-soluble polymer
25 - 75 vol% of cement, such as Portland cement, aluminous cement, slag cement etc.
0 - 30 vol% of inactive powder of a particle size of 2-10 µm
5 - 40 vol% of ultra-fine powder of a particle size in the range between 50 Å and
0.5 µm, such as ultra-line silica having a surface area (BET) in the range of about
200,000-250,000 cm²/g
0.5 - 4 vol% of dispersing agent (on powder basis), such as a concrete superplasticizer,
for example Mighty.
In the above recipe, the particular values selected from the ranges stated should
be selected according to the principles of CRC as explained herein. Thus, it will
be preferred to combine a coarse main reinforcement (for example diameter 20-25 mm)
with the larger fibres (for example 8-12 mm) and also to combine high volume concentration
of fibres (for example 10-20 vol%) with a low fibre length/diameter ratio (for example
1/20 to 1/10). For example, the beams of Example 1 were made with about 12% by volume
of reinforcing bars of diameter 8 mm (the volume concentration of the reinforcement
referring to 3 bars in a tensile zone defined as 50 x 25 mm of the total cross section
of 50 x 50 mm of the beam), the fibre reinforced matrix being made with 44.6% of coarse
quartz sand (maximum diameter 4 mm, 5.8% of fine steel fibres (0.15 mm x 6 mm), 49.6%
of binder, the binder being made from 47.6% of cement of an average grain size of
10 µm, 16.1% of ultra-fine silica of an average particle size of 0.1-0.2 µm, 33.7%
of water, and 2.8% of a concrete superplasticizer.
2. Another particular class of CRC based on cement and ultra-fine fibres together
with fine main reinforcement can be made from the following recipe:
CRC with 5-40% of reinforcement with a transverse dimension (diameter) 0.2-5 mm, such
as continuous wires or chopped wires, for example made of steel,
embedded in a fine fibre-reinforced matrix made from 4-20% of fibres with a length from 20 µm to 5 mm and a transverse dimension
of at least 0.5 µm-200 µm and 0-50% of fine sand, maximum particle size 1 mm, together
with 30-96% of binder-forming material made from
20 - 50 vol% of water optionally containing water-soluble polymer
10 - 75 vol% of cement, such as Portland cement, aluminous cement, slag cement etc.
0 - 30 vol% of fine matrix particles (2-10 µm)
5 - 40 vol% of ultra-fine powder (50 Å-0.5 µm), such as ultra-fine silica, vide above
0.5 - 4 vol% of dispersing agent (powder), such as a concrete superplasticizer.
METHODS FOR PREPARING THE COMPACT REINFORCED STRUCTURES
[0255] The fact that the CRC structures are often extremely dense with complicated internal
structure of the matrix (A) (comprising fibres, large particles, ultra fine particles,
etc.) combined with the fact that the reinforcement may often itself be of a complex
character (large amounts of reinforcement in complicated geometric arrangement) makes
the part of the processing where the components are placed in correct position relative
to each other very essential.
[0256] In principle, the components may be placed in their final position in various ways
such as:
1) The main reinforcement (B) may be arranged in a fixed position, and the matrix
material (A) may be added.
2) The main reinforcement (B) and the matrix material (A) may be combined, and the
combined structure may be placed in the desired final position.
3) The matrix material (A) may be arranged in the final position, and the reinforcement
(B) may be incorporated into the matrix material.
4) The solid components (the solid part of the matrix material (A) and the reinforcement
(B)) may be arranged in the desired position, and the fluid or liquid phase may be
incorporated, such as by infiltration with a melt (for example a metal or a plastic)
or by infiltration with a monomer which polymerizes in situ.
[0257] Various principles known in the art may be used in these strategies, such as sort
casting, extrusion, pressure or vacuum-assisted injection moulding, etc. However,
the dense arrangements of the components will often require or make it desirable to
use better processing techniques than the traditional ones (not necessarily new single
processes, but often new combinations of such processes):
[0258] Some of the processing technologies disclosed in the following for arranging particles,
fibres etc. of often very small size in desired configurations, often in very dense
and homogeneous structures are novel
per se and, as such, constitute aspects of the present invention.
[0259] These technologies are based on the principles of 1) dense packing and 2) viscous
processing optionally combined with mechanical vibration. The principles are described
in the following sections.
Principles of Dense Packing
[0260] It is known and well described in the literature that the obtainment of dense packing
of fine particle systems, including particle systems with incorporated fibres, depends
on a suitable selection of the geometry of the particles and the fibres, on the kinematics
involved in the arrangement of the particles and fibres in the system, and on the
overcoming of locking surface forces which would counteract the movement of the particles
or fibres relative to each other during the arrangement thereof. However, a few important
principles concerning the establishment of densely packed particle systems from liquid
dispersions will be mentioned in the following, and in particular, the special and
very useful system used in the examples, based on densely packed binders consisting
of fine particles (cement particles in the examples) with ultra-fine particles (microsilica
particles in the examples) homogeneously distributed between the fine particles, will
be mentioned.
[0261] With respect to the selection of particle size, it should be mentioned that a densely
packed particle fraction - e.g. compact-shaped fine particles between 10 and 20 µm
- should be protected against dilution by securing a considerable gap in particle
size between the fraction and both smaller and larger particles in the system. Thus,
e.g., in the ultra-strong cement-based materials used in the examples, the dense packing
of the strength-delivering cement particles was protected by gap in the particle size
(for both larger and smaller sizes) system by using a relatively coarse sand on the
one hand and ultra-fine microsilica particles that are considerably finer than the
finest fractions of the cement on the other hand.
[0262] Where other particles or fibres of the same size as the specific component, e.g.
10-20 µm diameter glass fibres, are used, it is possible to compensate for the relatively
high dilution of the cement fraction which takes place at the surface of these particles
or fibres by adding a correspondingly higher proportion of the lower fraction (e.g.
ultra-fine particles with a size below 0.5 µm).
[0263] These principles are demonstrated in Example 1. The approximately 10 µm cement particles
were "protected" at one side with rather coarse sand (with very little material below
200 µm) and at the other side with microsilica (with very little material above 0.5
µm).
[0264] Large bodies in the fibre reinforced matrix (e.g., the 6 mm fibres, and the 4 mm
sand, cf. Examples 1-4 and 6) also interfere with the main reinforcement and mould
boundaries and thereby give rise to wall and barrier effects. (The wall effect refers
to the fact that particles are packed more loosely in the immediate vicinity of a
surface than in the bulk, and the barrier effect refers to the fact that there is
not room for small particles in the narrow zones between big particles). The smaller
the ratio between the size of the main reinforcement and the size of the largest matrix
bodies is, and the higher the concentration of reinforcement is, the larger are the
wall and barrier effects. The wall and barrier effect between large bodies in the
reinforced matrix and the main reinforcement or the boundaries may be compensated
for by reducing the amount of coarse bodies of the reinforced matrix relative to what
could be present if the matrix were to be prepared in bulk.
[0265] In Examples 1-7, a very dense matrix material (A) was prepared and arranged in a
dense final structure with a large amount of reinforcing beams so that the resulting
reinforcing structure was extremely dense. The matrix (A) was coarse quartz sand (up
to 4 mm), 6% by volume of steel fibres (6 mm X 0.15 mm) and a binder consisting of
cement and microsilica (average particle size about 0.1 µm) and water and dispersing
agent. The entire structure was extremely dense, characterized by a very small inter-particle
space completely filled with liquid. The amount of liquid was extremely low, corresponding
to 36.4% by volume compared to the binder (cement + silica + liquid). This is less
than between half and 2/3 of the void volume resulting from ordinary concrete technology.
The dense fibre-reinforced matrix was then arranged between densely arranged main
reinforcement bodies and completely filled the space between the main reinforcement.
The very dense structure was obtained by 1) having a well-defined particle system
with gap grading also in the fine particle system (cement, microsilica) and 2) by
making it possible to obtain this geometric arrangement by the use of an effective
dispersing agent and a special processing technique (casting under vibration); these
measures are discussed below.
[0266] The greatest difficulty in arranging small particles in dense and homogeneous packing
in the matrix material (A) often resides in surface forces interlocking neighbouring
particles, thus counteracting mutual movement during mixing and shaping, which movement
is essential for the establishment of homogeneity and dense packing.
[0267] The above situation is of especial importance to systems with very small particles,
and this is due to the fact that the interior cohesion resulting from locking surface
forces between neighbouring particles increases with decreasing particle size as the
cohesion is inversely proportional to the particle size. Thus, the cohesive resistance
against mixing and shaping a particle system with submicron particles with a particle
size of 0.01 µm is 1,000 times larger than for a geometrically equally shaped particle
system built up from micron size particles with a particle size of 10 µm and 100,000
times larger than for a corresponding millimetre-size system (d ≃ 1 mm).
[0268] The effect of surface forces on the density of compacted particle systems is shown
in a "master graph" in Fig. 13 which shows the density of particle material as a function
of dimensionless compaction pressure
wherein p is the compaction pressure, d is the particle size, and γ is the inter-particle
surface tension. In a zone 1, the surface forces which keep the material together
against external compression predominate. There is no yielding or compaction. In a
zone 2, the external loads and internal coherence balance so that internal yielding
towards a denser packing takes place with increased dimensionless pressure. In a zone
3, the external loads dominate over the surface forces between the particles. It is
only in this zone that a suitable particle geometry can be utilized effectively, in
Fig. 13 illustrated as a range 4 instead of a single curve.
[0269] It is possible to overcome the locking effect by a combination of mechanical influences
(pressure, shear, etc.) and reduction of internal resistance (by reducing the locking
surface forces, building up of barriers - steric hindrance, electric diffuse double
layer, etc. - which counteract direct particle contact).
[0270] In this section, it is shown how these means may be evaluated together by the presentation
of a model containing both aspects combined in one expression. This permits predictions
of behaviour of systems of particles of arbitrary size from the knowledge of the behaviour
of one specific system.
[0271] This may for example be essential in connection with the transfer of experience with
the CRC systems in Examples 1-7 to other ultra-fine particle-based CRC structures,
such as, especially, fine ceramics with CRC structure.
[0272] For particles of compact, rounded shape, held together by surface forces, the forces
required to separate two particles in point contact or to perform mutual sliding are
proportional to the particle dimension ( d ) and the surface tension ( γ )
The surface tension (or energy) γ is defined as 1) the surface tension between the
liquid meniscus and surrounding fluid (usually air) when cohesion is caused by the
meniscus or 2) the work required to create one unit area of new surface by removing
plane-parallel faces from the contact area to infinite distance.
[0273] Under the assumption that separation and sliding resistance dominate over rolling
resistance, the yield stress of a powder (which is proportional to the force acting
on a particle, divided by the area of the particle) can be expressed as
where p is the applied shaping stress, or, in dimensionless form
or expressed in terms of rate of strain (ε̇) and viscosity of the fluid process matrix
( η
m )

where the constants are functions of the geometry of the particulate system (relative
particle size, shape and arrangement).
[0274] The quantity pd/γ (or ηε̇d/γ) is a measure of the extent to which external stresses
( p ) are able to overcome internal cohesion ( γ/d ).
[0275] Ultra-fine particles subjected to surface forces are typically packed in a very open
and agglomerated structure if the shaping takes place under moderate external pressure.
This is a case of shaping of a particulate system with very low, dimensionless shaping
stress field pd/γ , resulting in a correspondingly low particle concentration and
strong agglomeration.
[0276] This is illustrated in Fig. 13 (discussed above) which illustrates various degrees
of density, and in Fig. 14, which illustrates various degrees of dispersion.
[0277] Fig. 14 shows a graph 1 of stress versus rate of strain ε̇ for a system of particles
in mutual attraction by surface forces ( γ ) embedded in a viscous fluid having a
viscosity η
m. The X-axis is the dimensionless rate of strain, and the Y-axis is the dimensionless
stress. p is the stress applied (shear), and d is the particle size. A graph 2 shows
the theoretical behaviour of systems showing Newtonian flow. The sequences A-D correspond
to the adjacent portions of the graph 1 and show the transition from pronounced solid
behaviour (A) via a plastic to viscous behaviour (B-C) to a purely viscous behaviour
(D).
[0278] The graph of Fig. 14 is a master graph for systems with geometrically equally shaped
particle structures. Denser packing and more efficient dispersion can be achieved
by 1) higher shaping stress (


), 2) reduction of surface forces, e.g. by means of surface-active agents, or 3)
selection of larger particles.
[0279] For very high values of pd/γ , the effect of surface forces is practically overcome,
which is e.g. the case for most systems built up of large particles in point contact
under the influence of weak attractive surface forces, cf. e.g. a pile of stones.
Here, the particle packing is principally a question of particle geometry, particle
friction and the way in which the shaping is made.
[0280] The production of extremely strong and dense particle-based materials requires very
fine particles arranged in dense packing.
[0281] Therefore, it is vital to have means to secure a very low particle/particle interphase
tension ( γ ). This has a large bearing on the choice of ultra-fine particles and
on methods for their preparation and further handling and on the choice and adaptation
of shaping fluid including incorporation of additives such as surface-active agents
or pH-controlling agents.
[0282] As mentioned above, a normally very difficult system of a very fine particle substructure
with a high content of 0.1 µm diameter SiO₂-particles (microsilica) homogeneously
distributed between cement particles and with a high amount of fine fibres was arranged
extremely densely in Examples 1-7. This was done by the the above-mentioned suitable
selection of the respective particle sizes and by the use an efficient dispersing
agent effective for the combination of the solid and the liquid of the system in an
effective amount.
Processing
[0283] In order to obtain a dense and homogeneous arrangement of particles and fibres, it
is not sufficient to overcome surface forces. It is also necessary to ensure the necessary
internal movement of particles, fibres, etc. This becomes increasingly difficult the
more complicated the internal and external structure is. Thus, the formation of a
suitable matrix A by mixing and casting of a liquid-containing mass comprising the
particles and fibres often requires advanced process kinetics. A good internal movement
of particles in the system may be aided by the establishment of a rather uniform stress
field and deformation field throughout the casting mass during the processing (mixing
or casting, etc.) by imparting substantially viscous behaviour to the casting mass
- this may be obtained by embedding the particles in a viscous fluid with a suitable
viscosity. In this connection, the term "fluid" refers not only to liquids as such,
but also to fluid systems which are suspensions consisting of dispersed particles
in a liquid phase such as, e.g. water/microsilica systems as seen from the point of
view the larger particles (cement, sand, etc.) or water/cement/microsilica systems
as seen from the point of view of the sand particles and fibres.
[0284] From a rheological point of view, the following is desired.
1) The viscosity-dominated resistance should preferably dominate over the cohesive
resistance - in order to avoid that the deformations will be limited to local flow
zones and not uniformly distributed throughout the volume.
2) The viscosity-dominated resistance should preferably dominate over the frictional
resistance (i.e., the shear resistance caused by normal pressure) in order to avoid
frictional blocking of the flow.
3) In addition, the viscosity should not be unnecessarily high, as it should not give
rise to unnecessarily high mechanical shaping forces.
[0285] In the following, the desirable properties and behaviour of the fluid are discussed:
Viscous-Cohesive Systems
[0286] For systems containing fine and ultra-fine particles, locking surface forces between
the particles may significantly contribute to the total cohesive resistance. The surface
force contribution to the cohesive resistance for geometrically equally shaped particle
systems, cf. the explanation above, will be proportional to the surface force (surface
tension γ) and inversely proportional to the particle size ( d ):
Accordingly, in order to have viscous resistance to dominate over particle caused
cohesion, it is required that

This means that for a given particle system (characteristic particle size d) with
inter-particulate surface tension ( γ ) to be shaped at a given rate of strain ( ε̇
), the following requirements to the viscosity of the fluid matrix should be fulfilled:

which shows the important novel recognition that the viscosity of the shaping matrix
should be increased inversely proportionally to the particle size.
[0287] Master graphs of the kind shown in Fig. 14 make it possible, i.a., to design composition
(selection of fluid) and shaping condition for a submicron particle system (e.g. average
particle size 0.05 µm) on the basis of experience with systems with larger particles
(e.g. average size of 5 µm). Assuming that the particle shape/size distribution and
the volume concentration are substantially identical, the requirement for obtaining
the same degree of fluid behaviour

a fluid of 100 times larger viscosity, or a 100 times higher shaping speed, or reduction
of the surface tension by a factor of 100, or a corresponding change of several of
these parameters at the same time is required.
[0288] Thus, the viscosity must be 100 times larger in a 0.1 µm particle system than in
a geometrically equally shaped 10 µm particle system in order to obtain the same ratio
between viscous resistance and cohesive resistance during the shaping.

Consequently, the shaping stress (

) must, correspondingly, be 100 times larger in the small particle system.
[0289] The expression above also shows that a decrease of particle/particle surface tension
( γ ) will lower the requirement to the viscosity (and consequently also the requirement
to the shaping stress). Therefore, the use of a matrix which is able to lower the
particle/particle surface tension (that is, a matrix which functions as a dispersing
agent) is one important way to improve the rheology of the system. Actually, for submicron
particle-based systems, it is required in almost all cases that the fluid also functions
as an efficient dispersing agent. In order to eliminate locking surface forces from
internal liquid-gas interfaces, it is important that the fluid completely fills the
pore space.
Viscous-Frictional Systems
[0290] CRC structures may,
inter alia, be produced under medium to high pressure shaping (such as extrusion or pressure
casting) where frictional forces which tend to block the flow have to be overcome.
This is suitably obtained by imposing a substantially viscous behaviour on the system.
In such systems where the dominating internal resistance is due to friction between
the solid particles, i.e. the resistance to shear ( τ ) caused by a normal compressive
load (stress p) conforms to the expression:
where µ is the coefficient of friction, the following requirement to the viscous resistance
applies in order to achieve viscous dominance:

or

This is illustrated in Fig. 15 which shows the flow behaviour (graph 1) of a particle/fluid
system subjected to shear while being under a compression corresponding to a normal
stress p acting perpendicular to the shear forces; the resistance to flow is dominated
by frictional forces and viscous forces. At A, there is a pronounced frictional behaviour
(like that of a dry powder). At increasing values of the product of rate of shear
and the viscosity of the fluid divided by the normal stress p, the flow becomes increasingly
viscous (fluid-like) (B). Thus, arrows F and V indicate increasing frictional behaviour
and increasing viscous behaviour, respectively. A graph 2 shows the behaviour of a
fluid showing ideal Newtonian flow.
[0291] This means that the viscosity of the shaping matrix must be 1) larger, when the coefficient
of friction is larger, 2) larger, when the confining pressure p is larger, and 3)
larger when the rate of shear is smaller.
[0292] In addition to requirements concerning the magnitude of the viscosity, it will be
seen that the shaping process is also aided by reducing the coefficient of friction.
Therefore, in certain cases it is desirable to use lubricating additives - or to use
a shaping matrix which in itself acts as a lubricant.
[0293] In the examples, a system in which viscous resistance dominated was established by
incorporating a high volume of microsilica particles and using a very low amount of
water, corresponding in a water/cement + microsilica ratio of 0.18 calculated by weight.
In this system, surface forces were eliminated by use of an effective surface active
agent in an effective amount as mentioned above, and the microsilica also contributed
to reducing the friction. Into this system, 2, 4 and even 6% by volume of fine fibres
were incorporated. As indicated above, this is 2 to 4 times more than would be possible
in ordinary concrete practice. In ordinary concrete practice 2 to 3 times as much
water would have been added in order to obtain flowability; such a system would, however,
result in a system with a fluid of low viscosity and hence a powder/fluid system with
high frictional resistance in which it would not be possible to incorporate such high
amounts of fibres.
[0294] In Example 6, the viscous flow behaviour of the material is demonstrated in connection
with the casting between very densely arranged reinforcement bars (27% by volume).
Vibratory Processing
[0295] As the CRC is normally established with particle systems and dense packing, vibratory
processing is often essential in order to achieve the desired dense and homogeneous
arrangement.
[0296] In connection with the production of CRC, vibratory processing plays a vital role
in ensuring the very high packing density of the particles and fibres under geometrically
complicated conditions, typically with very densely arranged main reinforcement.
[0297] Vibration can be used to help promote viscous flow in connection with mixing and
casting, making it possible to perform these operations with a substantially higher
particle concentration than in normal production practice.
[0298] With heavy main reinforcement, it might seem difficult to transfer the oscillating
load deeply into the body because there will be extensive damping due to sliding between
the material and the reinforcement. However, the apparent disadvantage of heavy reinforcement
can be turned into an obvious advantage by using the stiff reinforcement to transfer
the oscillating stresses, such as is done in Example 6. This is contrary to normal
practice in reinforced concrete, where vibration applied to the reinforcement causes
separation of the concrete adjacent to this. However, in a high viscosity system,
especially one with a high content of fine fibres, practically no separation occurs.
[0299] A special aspect made possible by the vibration via the reinforcement is the use
of high frequency vibration. High frequency vibration requires a short distance from
the vibration source to avoid large damping in the viscous mass. Thus, in Example
6, the distance from the oscillating reinforcement was at the most about 8-10 mm during
the casting of a specimen of a thickness of 120 mm.
[0300] Also the mixing may be added by vibration or, in a special embodiment, by combined
vibration and pressure. This process is, in particular, important in systems with
very fine particles and high concentration, as systems of small particles and a small
amount of liquid will be locked by liquid meniscus-surface forces in an open structure
if the system is not completely saturated.
APPLICATIONS
[0301] As appears from the present specification, CRC is a completely new type of composite
material
1) having unique mechanical properties (combination of high strength, high rigidity,
high ductility) with the ability to perform under extreme environmental conditions
(over large temperature ranges, under heavily abrasive conditions, under severe chemical
conditions, etc.),
2) having unique possibilities for being specially designed to meet special requirements
by suitable combinations of overall structural design and material design, such as,
e.g., by placing special reinforcement, protecting components or functional components
in the right positions, and
3) being typically prepared from conventional components (reinforcing bars, fibres,
cement, etc.) in basically simple processes (building up of reinforcing structure,
mixing, casting, under vibration, etc.) normally performed at ambient temperature
with modest requirements with respect to physical or chemical requirements (such as
ambient temperature, chemical environment) and normally with utilization of materials
and methods which give rise to no or very modest health hazard problems (normally
water based liquid, powders of low health hazard, ordinary temperature, slowly moving
machine parts, noise problems which are at levels similar to or lower than what is
normal in the concrete industry).
[0302] It is therefore envisaged that CRC will obtain a broad range of applications in its
own right, similar to what happened to steel, plastics, and concrete.
[0303] CRC may be used as more or less pure CRC members or structures, such as CRC plates
or beams, but in many cases CRC will be a major part of members or structures containing
other structural or functional elements such as, for making large machine parts (e.g.
gear boxes, heavy ship parts, moulds for casting large members of plastics or rubber
or pressing tools for shaping metal panels etc., or CRC may constitute minor parts
of the total structure placed in critical locations to transfer very large concentrated
loads (such as joints and bearing plates in large bridges of steel or concrete, fixation
zones for pre-stressing steel in pre-stressed concrete, corners in frames of steel
or concrete to transfer large bending moments, etc.).
Surface Cracks/Surface Protection
[0304] In a typical CRC structure, the most strained surface layers will normally be the
part of the structures which are most likely to form cracks in the matrix.
[0305] The reasons for this are:
1) This zone is often the most strained.
2) The crack-stopping effect of the reinforcement is smaller than a) close to the
surface of the reinforcement and b) in spaces between two or three bars.
3) The reinforcing effect of the matrix fibres is smaller at boundaries due to smaller
fibre concentration (thus, the outermost zone of say 1 mm in the materials in the
examples where 6 mm fibres were used contained practically no reinforcement at all).
[0306] These facts are of importance to 1) the interpretation of the type of visible surface
cracks, especially with respect to estimations concerning how far the cracks have
penetrated into the body (for example whether the cracks pass the reinforcement or
not) and 2) for the performance of the surface itself as a protective surface (for
example against chemical and mechanical attack).
[0307] A consequence of this inherent weakness of the surface, combined with the unique
resistance of the CRC structures to crack propagation, is that a CRC structure may
show surface cracks, and even long surface cracks, which do not pass the main reinforcement,
these cracks being developed only in the outermost layer outside the main reinforcement.
[0308] This is in strong contrast to what is normally experienced in conventional reinforced
concrete, where the reinforcement is not capable of stopping cracks.
[0309] In many cases, the surface performance of structures is of importance, and there
are case where even fine cracks on CRC surfaces are unacceptable, or where special
chemical structures are required in the outermost layers.
[0310] With the large number of possibilities with respect to production methods for CRC
and the possibilities of post-treating CRC surfaces, there are many ways in which
the surface properties of CRC structures may be improved:
1) The CRC member may be provided with a surface film or layer with sufficient flexibility
and with a desired chemical structure, either by pre-arranging the film or layer before
casting or by fixing a surface film or layer to the solid CRC material surface, e.g.
by gluing, electroplating, plasmaspraying, etc.
2) To pre-arrange fine fibre meshes, for example 1-10 layers of meshes with threads
of a diameter of 10-100 µm, in the mould prior to the casting, hereby providing a
special protection of the outermost say 200-1000 µm layer.
3) To use a special finer main reinforcement in the outermost layers, for example
a reinforcement of a diameter of 2-6 mm in systems which otherwise contain reinforcement
bars of a diameter of 20 mm, thereby ensuring a protection against crack in the outermost
10-20 mm similar to what would have been obtained if the complete main reinforcement
had been changed to 2-6 mm diameter reinforcement.
Pre-stressed CRC
[0311] It is known to pre-stress concrete, typically with strong threads, cables or bars
which are subjected to high tensile stresses and which, by being fixed to the concrete
confer stabilizing compression stresses to the concrete, this increasing the ability
of the concrete body to resist tensile forces (load in pure tension or in bending).
[0312] The same principles may be utilized for preparing CRC with quite extreme properties.
By pre- or post-stressing CRC bodies in the direction of the main reinforcement with
strong threads, the CRC structure (matrix + main reinforcement) is brought into a
compressed state.
[0313] Thereby, the capability of the CRC structure to transfer tensile stresses in bending
and under pure tensile loads without the formation of any cracks passing the reinforcement
is increased very considerably.
[0314] For example, a pre-stressed version of the structure illustrated in Example 1 (modified
with an extra reinforcing bar in the upper part), with a pre-stressing to a formal
compression stress of about 100 MPa will increase the bending capacity from about
160 MPa to about 210 MPa and the tensile capacity from about 100 MPa to about 200
MPa.
[0315] The pre-tensioning may, for example, be established with 6-7% of pre-tensioning wire
with a yield strength of 2500 MPa pre-stressed to 1500 MPa.
[0316] With strong cement/microsilica-based CRC structures, for example having bending strengths
of about 300 MPa and tensile strengths of about 200 MPa, it will be possible by pre-stressing
to prepare bodies having bending capacities and tensile capacities which are both
about 400 MPa.
[0317] It will be understood that the pre-tensioning technique is especially suitable for
structures which are to be subjected predominantly to tensile stresses, for example,
large high-pressure tubes or pipes or containers.
[0318] Fig. 16 shows sections of two pre-stressed CRC articles. A shows a part of a pre-stressed
cylinder shell or spherical shell, and B shows a section of a pre-stressed plane plate.
1 designates a fibre reinforced matrix, 2 designates a main reinforcement, 3 designates
stressed wires, 4 indicates the tensile forces in the wires, 5 indicates the pressure
built up in the structure consisting of matrix and main reinforcement to balance the
pre-stressing forces, and 6 shows a cover layer protecting the pre-stressed wires
in A.
[0319] In B, the tensile wires are placed in a pre-stressed condition prior to the casting,
fixed outside the plate. After casting and solidification, the fixation is released,
the tension in the wires being retained either by end fixation of the wires at the
ends or simply by shear fixation in the matrix.
Plates or Shells Designed to Resist Large Concentrated Forces
[0320] An important application of CRC is plates or shells which are to resist very large
concentrated loads perpendicular to the plane of the plates or shells, for example
large impact influences in connection with blowing or explosion.
[0321] The failure or destruction of plates subjected to concentrated loads perpendicular
to the plane of the plate will in most cases take place either by bending or by punching
where a truncated cone-shaped body is pressed out.
[0322] CRC plates or shells produced according to the same principles and from the same
materials as in the Examples 1-4 and 6 will have bending capacities of 130-230 MPa
(normalized moment), whereas conventional quality panels of reinforced concrete will
have bending capacities of only 15-25 MPa.
[0323] Thus, such CRC plates or panels can resist 5-15 times larger loads in bending than
similar plates of conventional reinforced concrete of high quality, or the thickness
of the plate or panels to obtain the same load in bending as conventional reinforced
concrete may be reduced so that the CRC plates will have thicknesses of only 25-45%
of the thickness of corresponding plates or shells of good conventional reinforced
concrete.
[0324] By incorporating a higher concentration of and/or stronger reinforcement than in
the examples, the bending capacity can be further increased (or the thickness further
reduced).
[0325] Where the failure or destruction takes place by punching, such as is, for example,
often the case at explosion or blowing loads and impact with strong concentrated loads,
the load capacity is not increased correspondingly by increasing the amount of reinforcement
in the plane of the plates or shells, as this reinforcement does not have the same
influence on the resistance against the formation of the punching failure proper in
the matrix as it has on the bending capacity of the matrix (the reinforcement, however,
may have a considerable importance for the succeeding removal of the destroyed concrete).
[0326] In spite of this, CRC structures without any special transverse reinforcement will
also in this case have a considerably better performance than normal concrete, because
the tensile strength of the matrix material is typically 3-5 times higher and because
the very tough CRC matrix also confers considerably more ductility.
[0327] In addition to increasing the resistance against formation of punching failure in
the matrix, the ductile matrix also results in a considerably better fixation to the
main reinforcement after a local fracture in the matrix material has taken place.
This ensures that the highly concentrated main reinforcement will also keep the partially
destroyed matrix materials far better fixed than is the case in conventional reinforced
concrete or fibre-modified reinforced concrete. Thereby, the resistance to larger
destructions (total collapse) is very considerably increased.
[0328] Really high resistance against punching failure, however, requires a transverse reinforcement.
In plates or shells where the point of attack of the load is known, such as for example
in column/plate structures, it will often be relatively simple to incorporate a special
transverse reinforcement against punching failure, such as it is known, e.g. from
conventional reinforced concrete.
[0329] However, where the point of attack of the loading is not known, it is very difficult
to arrange an effective transverse reinforcement in known art structures. This is
especially the case with plates or shells with a high concentration of main reinforcement,
where there is simply little room for such a transverse reinforcement, as the necessary
fixation around the main reinforcement requires a considerable space.
[0330] This might indicate that in CRC plates or shells with typically an extremely high
concentration of main reinforcement, it would be very difficult or even impossible
to introduce an effective transverse reinforcement. This difficulty would seem to
be additionally increased by the fact that it is often desired to utilize the high
bending capacity of the CRC plate or shell by using very thin plates or shells, which
would require an especially high concentration of transverse reinforcement to resist
punching failure.
[0331] However, the exceptionally good fixation of reinforcement which is characteristic
to the strong ductile fibre reinforced matrix of the CRC structures, permits the design
of the transverse reinforcement in the form of straight bars which are easily effectively
fixed at their ends in the embedding matrix material with an efficiency comparable
to a bolted connection.
[0332] This design makes it possible to arrange the effectively functioning transverse reinforcement
in an extremely high concentration, especially in systems with an extremely high concentration
of main reinforcement, such as is explained below.
[0333] A model casting with a high percentage of transverse reinforcement (about 8%) is
described in Example 6. A corresponding plate is shown in Fig. 17 B.
[0334] Fig. 17 A shows the situation where a plate and unreinforced matrix material 1 is
subjected to a concentrated load 2 acting perpendicular to the plate and causing punching
failure of the plate as illustrated by the crack 5. B shows a CRC structure subjected
to a similar type of load. The CRC structure consists of a fibre reinforced matrix
1 and upper (3-3) and lower (3-3) layers of reinforcement bars arranged perpendicularly
to each other. In addition, the structure contains transverse reinforcement bars 4
arranged perpendicularly to the above-mentioned layers, one transverse bar in each
mesh. 6 designates a fictive failure cone, the formation of which is impeded by the
transverse reinforcement. With reference to the figures in Example 6, the volume concentration
in each horizontal direction was 10.4% and the volume concentration of transverse
reinforcement was 7.7%. With a larger diameter of the transverse reinforcement, for
example from 10 mm to 12 mm or 14 mm, the volume concentration could be increased
to about 12 or 15%.
[0335] The structure illustrated in Fig. 17 B is an example of an article having three-dimensional
CRC structure.
[0336] In fact, the very high concentration of main reinforcement which is typically of
CRC (for example main reinforcement in the form of a "net" with meshes of the order
of only 0.8-1.5 times the transverse dimension of the reinforcement) harmonizes excellently
with a very effective transverse reinforcement:
1. There is plenty of space for a very high concentration of transverse reinforcement.
2. The main reinforcement forms a natural frame work for placing the transverse reinforcement.
3. The main reinforcement contributes very effectively to ensuring the strong fixation
of the ends of the transverse reinforcements by counteracting matrix splitting.
[0337] By incorporating such an effective transverse reinforcement in a form of for example
5-15% by volume of steel bars with a diameter of about 10 mm in CRC plates or shells
of the types as shown in Fig. 17, the resistance to punching failure is very considerably
increased.
[0338] The resistance against punching or cleavage of the matrix materials in the plane
of the plate or shell is considerably increased, typically from about 5-30 MPa to
about 70-220 MPa (referring to formal tensile stresses), in other words corresponding
to a factor of 5-10.
[0339] The ability to absorb energy is increased even more, as, in addition to the 5-10
times increase in force, the system, a perhaps 20-100 times higher deformation ability
(crack zone deformation) is obtained, resulting in an increase of the fracture energy
from about 10,000-20,000 N/m to perhaps about 500,000-2,000,000 N/m.
[0340] Finally, the transverse reinforcement effectively contributes to fixing the matrix
material after a matrix failure has taken place, whereby the resistance against larger
destruction and total collapse is additionally strongly increased by incorporation
of the special transverse reinforcement in CRC plates or shells.
CRC-Ceramics
[0341] An interesting aspect of the invention are articles in which the base matrix C is
a ceramic matrix. There are two main lines of development which have been made possible
through the present invention:
1) Large ceramic members of structures which are heavily reinforced with bars similar
to those used in Examples 1-4 and 6, i.e., bars of a diameter of several millimetres,
the matrix C being made, e.g., from refractory components such as refractory cement,
Al₂O₃-sand and fibrous reinforcement of high temperature alloyed steel, and
2) smaller bodies of high quality ceramics based on ultra-fine powders of diameters
below 1 µm, such as Al₂O₃, ZrO₂, or Y₂O₃, reinforced with fine ultra-strong whiskers
of a diameter of 1-10 µm (Al₂O₃, silicon carbide, silicon nitride) with a main reinforcement
of diameter 0.2-1 mm of high strength metal alloys such as steel alloys, ceramic fibres
such as Al₂O₃, SiC or Si₃N₄, carbon fibres, etc., the reinforcement being of the form
of "thin single threads or consisting of yarns or cables spun from single threads".
[0342] The CRC ceramic structures, in particular the large CRC ceramic bodies or articles,
constitute a new range of large rigid, strong and ductile structures which are able
to perform at high temperature; it is envisaged that they will be able to perform
excellently up to 600°C or even up 800°C.
[0343] These articles may be normal structural components in kilns or components used in
structures where abrasive materials are transported. However, a very interesting new
aspect is constituted by large machine parts operating safely at the above mentioned
temperatures which are far above the temperatures at which large machine parts of
steel or other known material can operate.
[0344] The fine ceramics CRC structures open up the possibility of establishing a new range
of high performance medium size bodies such as high performance motor components of
sizes far larger than those which may be produced with the known high quality fine
ceramics materials.
[0345] CRC structures with a base matrix of fine ceramics obviate the brittleness of fine
ceramics which has hitherto limited the use of fine ceramics to very small members.
[0346] A major problem in the production of ceramics is the contraction during sintering
and cooling. Up till now, this contraction has severely limited the use of reinforced
ceramics due to the thermal stressed which would be introduced between the ceramics
matrix and the reinforcement. However, the high ductility of the CRC matrix, also
based on ceramics materials will strongly reduce the adverse effect of matrix contraction.
However, as the temperature ranges involved during the production of ceramics are
typically very large, for example from 600°C to above 1000°C, it is recommendable
also to use other available means for reducing the matrix contraction. Thus, in large
CRC structures based on refractory sand it is, e.g. advisable to minimize the amount
of the fine component which forms the binder material by sintering, as it is within
this binder component that the main contraction takes place.
[0347] In connection with fine ceramics of high quality, it is necessary to form a sintered
product from rather pure materials which, on the other hand, normally requires a very
high sintering temperature. This poses severe limitation on the selection of fibres
and main reinforcement. One way to overcome these problems is to form the ceramic
matrix from ultra-fine powder by low temperature sintering. This permits a very natural
and rational process as, as mentioned above, fine particle-based structures are a
necessity for producing the fine matrix structure reinforced with 1-10 µm diameter
whiskers.
[0348] The mixing and shaping of the ceramic matrix are suitably performed using the viscous
flow processing, preferably aided by vibration as explained above, the same physical
principles as explained in connection with cement being used, but, of course, scaled
down so as to become adapted to the much finer particle size in accordance with the
teachings above, including the master graphs.
Members for Low Temperature Performance
[0349] It is known that steel gets brittle at low temperatures and is therefore not suitable
for structures which are to carry high load under low temperature conditions.
[0350] CRC structures, for example based on cement and sand and steel reinforcement, show
high ductility both at normal temperature and at low temperature, even if the reinforcement
itself becomes brittle.
[0351] This is due to the well known composite philosophy, where the use of brittle materials
(for example glass) as a reinforcement in the form of fine fibres and plastics results
in a high performance composit, liberated from the brittleness, due to the fact that
cracks cannot spread like in bulk material. CRC built with brittle reinforcement (for
example steel bars, which are brittle at a temperature of from -100°C to -200°C) and
a fibre reinforced cement based matrix is, in fact, an upscaled version of the glass
fibre composit. At low temperature, the steel gets brittle, but the matrix performs
just as ductile as before, which means that the structure will perform exactly as
well as at normal temperatures up to yield point of the steel.
A Comparison With Reinforced Concrete
[0352] In order to compare structures according to the invention with similar materials
and structures according to the known art, references are made to the reinforced structure
according to the invention disclosed in Example 1, compared with tests on ordinary
reinforced concrete plates reported by Johansen, K.V., "Brudlinieteorier", Polyteknisk
Forening, 1958.
[0353] This is done because the test results by Johansen are given in a form which makes
it possible to perform a comparison, despite the fact that the plate thickness is
much larger in Johansen's experiments than the 5 cm in Example 1.
[0354] Johansen refers to experiments with "uniformly" distributed load on plates of the
dimension 312 x 312 cm and on plate strips of width 8 cm.
[0355] Johansen calculated the rupture moment (moment per length) of the plates. Table A
states the calculated moment per length for the actual thickness and for the corresponding
moment transferred to a 5 cm thick plate (the moment being proportional to the thickness
in the second power).

[0356] This example clearly shows that the structure according to the invention is many
times better than ordinary reinforced concrete.
[0357] Thus, a very simple structure according to the invention (with a reinforcement of
less than 50% of that in Example 1 placed unidirectional and a similar amount placed
perpendicular to the first) is more than 4 times stronger than a heavily reinforced
plate according to the known art. Furthermore, this strength is exerted without any
crack formation, while the ordinary plates crack heavily at loads of only approximately
1/5 of the rupture value.
[0358] With heavy reinforcement with high quality steel, the bending capacity of the cement
based structures according to the invention may easily be doubled or tripled.
[0359] A very special use of the new structure according to the invention is in pressure
moulds for casting fluid and plastic masses such as plastic, rubber, etc. where tensile
cracking makes the use of ordinary concrete (even the very strong types) unsuitable.
Now, with tensile strain capacities of the structure according to the invention of
more than 1.0 to 2.0 or even more than 3.0 mm/m, the use of such structures for pressure
moulds for casting of fluid and plastic masses becomes very promising.
EXAMPLE 1
BENDING TESTS ON SMALL BEAMS
MATERIALS USED
Quartz Sand
[0360] The quartz sand was composed of three fractions used in the following parts by weight
ratios:
| Fraction |
Parts by Weight |
| 1-4 mm |
4 |
| 0.25-1 mm |
2 |
| 0-0.25 mm |
1 |
[0361] The density of the quartz sand mixture was 2.630 kg/m³.
White Portland Cement
[0362] Density (estimated) 3150 kg/m³
Specific surface (estimated) about 400-450 m²/kg
Microsilica
[0363] Fine SiO₂-rich powder with spherical particles produced by condensation from a gaseous
phase obtained as by-product from the production of silicium metal in electrical furnaces.
Specific surface (determined by B.E.T. technique) about 25,000 m2/kg corresponding
to an average particle diameter of about 0.1 µm. Density about 2220 kg/m³.
Dispersing Agent (Powder)
[0364] A so-called concrete super plasticizer, trade name "Flube", a sodium salt of highly
condensed naphthalene sulphonic acid/formaldehyde condensate. Density of powder about
1600 kg/m³.
Water
[0365] Common tap water, density 1000 kg/m³.
Steel Fibres
[0366] Cylindrical brass coated steel fibres "Dramex" from Bekaert, Belgium, diameter 0.15
mm, length 6 mm. The material is declared to have a tensile strength of 525 MPa.
Reinforcing Steel
[0367] Deformed steel bars, diameter 8 mm - KS 410-S "Kamstal", yield value stated to be
above 410 MPa.
[0368] The yield stress and rupture stress (tensile strength) of the 8 mm diameter bars
were determined by tensile tests. The results were as follows:

PREPARATION
[0369] The beams and additional test specimens were prepared as follows:
1. The composition of the mixes appears from Table 1.
TABLE 1
| Mix Composition Referring to One Batch of Approximately 10 litres |
| Mix Ingredients |
g |
g |
g |
g |
| White Cement |
7750 |
7750 |
7750 |
7750 |
| Microsilica |
1850 |
1850 |
1850 |
1850 |
| Flube |
230 |
230 |
230 |
230 |
| Quartz Sand |
0-0.25 mm |
1950 |
1876 |
1800 |
1727 |
| 0.25-1 mm |
3950 |
3791 |
3642 |
3492 |
| 1-4 mm |
7900 |
7601 |
7299 |
7001 |
| Water |
1740 |
1740 |
1740 |
1740 |
| Fibres |
0 |
1570 |
3140 |
4710 |
| Fibre Content, vol% |
0 |
2 |
4 |
6 |
2. The mixing was performed in a planetary mixer as follows:
Cement, microsilica, Flube and sand were dry mixed for two minutes. Thereafter, the
water was added, and mixing was continued for additionally 10 minutes. Then, fibres
were added and mixing was performed for additionally 5 minutes.
During the first few minutes of mixing after the addition of water, the mass had a
dry appearance. Then, it underwent a rather sudden change into a dough-like mass which
gradually changed to a softer, glossy viscous mass, indicating complete saturation
of the system.
After addition of fibres, the visual appearance was the same, but the resistance to
shear during the mixing was much higher.
3. The consistency of the finished mixes ready for casting was determined by spreading
cone test (ASTM C230-368). The results are as shown in Table 2.
TABLE 2
| Mixture % fibres |
Spreading cm |
| 0 |
13.5 |
| 2 |
11.5 |
| 4 |
5.5 |
| 6 |
1.9 |
4. Test specimens (cylinders of diameter 4.5 cm, length 9 cm and cylinders of diameter
10 cm, length 20 cm, non-reinforced beams of dimensions 5 x 5 x 50 cm³ and reinforced
beams of the same dimensions were cast under vibration on a standard vibrating table
with a frequency of 50 Hz and an acceleration of about 30-50 m/sec². Each of the reinforced
beams contained 5 deformed bars (length 500 mm, diameter 8 mm) placed in a fixed position
in the mould prior to casting. The arrangement of the reinforcement bars in the beams
appears from Fig. 23 which shows a cross section of the beams, 1 designating the deformed
bars, and 2 designating the fibre reinforced matrix. The distance between each bar
and the nearest surface of the beam was 6.5 mm, and the distance between nabour bars
in the bottom zone was also 6.5 mm.
5. The cast specimens were covered with plastic and kept at 20°C at 100% humidity
for 24 hours. Then they were cured in water at 80°C for 24 hours.
DENSITY
[0370] After curing, the density of all the specimens was determined by determining the
weight in air and the weight submerged in water (at 20°C). The densities appear from
Table 3 where the measures determined are given together with the calculated values,
the calculation being based on the mixing components, assuming 100 per cent dense
packing (i.e. without air).

[0371] The results show that the packing of the concrete is very dense, indicating an air
content below 1% for all the mixes, including the mix with an extremely high fibre
content in narrow beams with heavy reinforcement.
[0372] This illustrates that the processing technique is very well suited for establishing
this unusual structure. Table 4 shows the volumetric composition of the structures.

[0373] As the dispersing agent is dissolved in the water, the concentration of the cement
plus microsilica in the binder (cement + silica + liquid + air) is 63.6%, and the
porosity is 36.4%.
[0374] This is a very high volume concentration of solid for a cement binder, in fact so
high that it corresponds to densities obtained by high pressure vibratory compaction
of well graded cement powder (optimal grading from a density point of view prepared
in the form of small cylinders, diameters 11 mm, height approximately 10 mm) (cf,
Bache, H.H., "Densified cement/ultra-fine particle-based materials" presented at the
Second International Conference on Superplasticizers in Concrete, June 10-12, 1981,
Ottawa, Canada (Ottawa Paper)).
The compaction experiments on graded cement powder in this reference were performed
with oscillating pressure of about 5 MPa at a frequency of 100 Hz for about 2 minutes.
These experiments were made to illustrate what was at that time believed to be
an upper limit only to be achieved in the laboratory - on pure cement powder specimens
of very simple shape suitable for pressure compaction.
[0375] These visions, however, have now been brought into reality in accordance with the
present invention under the following conditions which would be believed not to permit
such results:
1. Soft casting combined with
2. Complicated internal structure (coarse particles, fibres, etc.) and with
3. Complicated external structure with very slender beams (50 x 50 mm) with a high
concentration of main reinforcement (five 8 mm diameter deformed bars).
Comments
[0376] In order to achieve good mechanical behaviour, it was desired to have a high content
of relatively large particles and a very high fibre content. From a geometrical and
kinematical point of view, large particles are normally undesired, both due to interference
with the main reinforcement and due to interference with the fine fibres. However,
in the present case, a very high fibre content (up to 6% by volume) was used, and
in addition quartz particles up to 4 mm of diameter. This must be considered very
large particles compared to the diameter of the reinforcement (8 mm) and compared
to the available space between the reinforcement bars and between the bars and the
mould sides (6.5 mm). In order to secure the necessary fluidity (viscous shaping)
of this complex mix, the following precautions were taken:
1. The fine particle part (cement + microsilica) was converted into a fluid system
(in spite of its extremely dense packing) by saturation with a very low amount of
water (0.18 by weight).
2. An efficient dispersing agent effective for the combination of solid and liquid
in this system was used in an effective amount.
3. The fine particle-based fluid was given a high specific viscosity and a large internal
coherence (no water separation) and low frictional resistance by using a high concentration
of the microsilica.
4. The flow of the mass containing quartz particles and fibres was made possible by
using slightly more fine particle/fluid material than would have been necessary from
a purely geometrical point of view.
5. The necessary excess of the fine particle/fluid material was kept low by casting
under vibration.
6. With increasing amount of fibres an adjustment was made by removing a similar volume
of coarse particles.
7. The desired viscous consistency of the mass (sand, cement, microsilica, fluid)
was utilized to incorporate a large amount of fine steel fibres.
[0377] In many respects, this strategy is different and to some extent in conflict with
traditional reinforced concrete technology. The mixing time was much longer than used
in ordinary concrete practice (17 minutes as opposed to 1-2 minutes):
Re 1. It is contrary to the teaching of ordinary textbooks on concrete technology
to add ultra-fine powder to the cement/water mix in order to reduce the water requirement,
the normal traditional teaching being that fine particles will increase the water
demand (this new approach of replacing water with fine particles is explained in the
above Ottawa Paper).
The ratio water/(cement + microsilica) is low (about 0.18 by weight), thereby securing
a high quality of the final product and securing the desired viscous shaping. This
low ratio is not conventional in reinforced concrete where a water/(cement + other
fine particles) ratio of 0.30 by weight is normally considered very low and is considered
exceptionally low when such a mix has to have a high content of fibres.
Re 2. The amount of dispersing agent was considerably higher than used in traditional
reinforced concrete and was of a type very effective to disperse the system in question.
Re 3. It is not conventional in reinforced concrete technology to assist the incorporation
of bodies such as fibres by increasing the viscosity (here by using a low water content
and adding a large amount of microsilica). The conventional strategy would be the
opposite, i.e., to make the mix more easily flowable by adding water to facilitate
the incorporation of the fibres. This, however, would result in a low viscosity and
thus in a high frictional resistance which in fact would result in a bad intermixing
of the fibres with uneven distribution and low possible maximum fibre concentration.
Re 7. The amount of fibres (6 mm x 0.15 mm) incorporated and arranged in the test
beams is very high - up to 6% by volume (20% by weight).
In ordinary reinforced concrete technology, it seems impossible to incorporate more
than 1 or at the most 2% by volume of fine steel fibres in a mortar with about 50%
coarse sand without creating a loose packing, and it would seem almost impossible
to cast such a mass so that it would completely fill the narrow spaces between bars
and walls in the reinforced beams.
[0378] The mixing was performed by mixing the mass carefully before addition of the fibres.
This was done to obtain homogeneity and fluidity of the mass before incorporation
of the fibres. It would have been impossible to incorporate the same amount of fibres
by addition of the fibres in the dry state of the mix because such a mix would have
a very high frictional resistance against the mixing.
[0379] It might also be possible to use other mixing sequences, such as premixing the binder
(cement + microsilica + water and dispersing agent) to a well dispersed mass of a
fluid consistency and then adding 1) coarse particles and 2) fibres or 1) fibres and
then 2) coarse particles. What is most important is that a homogeneous and well dispersed
viscous fine particle based fluid mass must be established before incorporation of
the fibres.
MECHANICAL PROPERTIES OF MATRIX MATERIAL
[0380] The mechanical properties of the matrix material with and without reinforcement,
but with the fine fibres were determined. The following mechanical tests were carried
out:
1. Recording of strain during deformation-controlled compression loading of cylinders
of diameter 4.5 cm and height 9.0 cm.
2. Measurement of sound velocity and calculation of dynamic modulus of elasticity
from the measurement results.
3. Recording of the relation between force and deflection on notched beams and calculation
of fracture energy from the results.
Compression Tests (on Cylinders of Diameter 4.5 cm and Height 9.0 cm)
[0381] The compression tests were carried out on an INSTRON machine run with a slowly increased
displacement.
[0382] During the compression, the force/strain relationship was recorded. Both the strain
in the direction of the cylinder axis and the strain perpendicular thereto were measured
by means of strain gauges as shown in Fig. 18, in which 1 and 2 represent gauges measuring
the strain in the direction of the load and perpendicular thereto, respectively.
[0383] The maximum load was also recorded.
[0384] From the data recorded,
1. strain/stress relationships
2. modulus of elasticity (static)
3. Poisson's ratio and
4. compressive strength
were calculated. The results appear from Table 5.

COMMENTS ON THE TEST RESULTS
[0385] It appears from the results that the materials show substantially linear behaviour
without any substantial increase in Poisson's ratio up to very high stresses. Thus,
the specimens containing 6% by volume of fibres were deformed substantially linearly
up to 160-180 MPa (approximately 70-80% of the compressive strength), which, i.a.,
was indicated by Poisson's ratio being substantially unchanged (about 0.19-0.23).
Ultrasonic Sound Velocity and Dynamic Modulus of Elasticity
[0386] The ultrasonic sound velocity was determined on cylinders of diameter 4.5 cm and
length 9.0 cm using a Pundit ultrasonic apparatus having a frequency of 200 kHz. From
the ultrasonic sound velocity and the measured densities of the specimens, the dynamic
modulus of elasticity was calculated according to


in which v is the ultrasonic sound velocity and r is the density. The results are
shown in Table 6.

Fracture Energy
[0387] The fracture energy was determined on notched beams of 50x50x500 mm³ supported symmetrically
with the distance of 25 cm between the supports and loaded with a central single force.
The notch depths were approx. 25 mm in central position (vide Fig. 8 which shows force
versus deflection of notched beams).
[0388] The measurements were performed with a slowly increasing displacement (displacement
rate 4.81 x 10⁻⁶ m/sec). During the experiment, connected values of force and displacement
were recorded. The results appear from Figs. 19-22. In Fig. 19, the fibre content
of the matrix is 0%, in Fig. 20 2%, in Fig. 21 4% and in Fig. 22 6%, by volume. Fig.
19 is shown in larger scale than Figs. 20-22. In Fig. 8, the curves of Fig. 19 and
Fig. 22 are shown in the same scale.
[0389] Under the assumption that all the stored energy is released and used to create new
area (crack), the specific crack energy (that is, the fracture energy) can be calculated
as the work performed by the external force (area under the force-load curve) divided
by the crack area. The results appear from Table 7.

Estimate of Shear Stress at Sliding Between Fibres and Matrix
[0390] From the value of maximum force on notched beams it is possible to estimate - roughly
- the shear stress at fibre pull out.
[0391] Assuming that fibres carry the load at maximum stress and assuming that the fibres
are arranged parallel to the tension we get (approximately) the shear stress (τ) from
the expression
where d is the diameter, l is the length of the fibre, σ is the tensile stress at
maximum load and φ the volume concentration of fibres.
[0392] Assuming (for the sake of simplicity) that

where F is the applied force and L is the distance between the supports.
we get, for example from the beam considered (AGI)

and hence

MECHANICAL PROPERTIES OF REINFORCED CONCRETE BEAMS
[0393] Bending tests on the reinforced beams were performed on an INSTRON machine. The test
beams were simply supported, span 417 mm, and loaded with a force at the beam middle,
vide Fig. 2. The mix compositions and properties of the matrix of the beam are explained
above. The experiments were performed as slow displacement controlled experiments.
During the experiments, connected values of force and displacement were recorded and
in some of the experiments, also connected values of force and strain at the tension
side of the beam (below the middle) were recorded. The rate of displacement was about
0.19 mm/minutes (apart from certain parts of the experiment where a shift was made
to a higher rate of displacement after considerable yielding).
[0394] Representative results are shown in Figs. 24-27, Fig. 24 being shown in a scale different
from the scale of Figs. 25-27. Results calculated from the curves of Figs. 24-27 are
shown in Table 8.

[0395] The following observations were made during the experiments:
Beam Without Fibres (B.0.III)
[0396] Before the loading, the beam showed micro cracks. The force/displacement curve was
substantially linear up to failure. During this course, no further cracks were observed.
At a force of 14.8 kN, cracks appeared at the tension side of the beam, and at the
same time, a pronounced longitudinal crack suddenly appeared along the main reinforcement.
The crack developed very fast, which also appears from the steep slope of the curve
after failure. Thereafter, several longitudinal cracks developed quickly, and simultaneously
with the main reinforcement being pulled out, large pieces spalled off the specimen,
and the reinforcement bars were exposed. The pulling out was ascertained by the exposed
ends of the reinforcement bars being pulled into the beam.
[0397] The crack pattern is shown in Fig. 28 A.
Beam With 2% by Volume of Steel Fibres (B.2.1)
[0398] Before the loading, no micro cracks were observed. The force/displacement curve up
to failure is substantially linear, and during this part of the loading, no cracks
were observed. At a force of 26.3 kN, crack formation in the tensile side of the beam
occurred, and at the same time, longitudinal cracks along the reinforcement bars occurred.
This manifested itself in a small decrease in the load. Thereafter there was apparently
yielding in the main reinforcement bars. At a a deflection of 13 mm, the longitudinal
crack developed, and the bars were pulled out, as observed by the end of the bars
being pulled in. At the same time there was a decrease of the load.
[0399] The crack pattern is shown in Fig. 28 B.
Beam With 4% by Volume of Steel Fibres (B.4.I)
[0400] Before loading, no micro cracks were observed. The force/displacement curve up to
failure is substantially linear, and during this part of the loading, no cracks were
observed. At a force of 29.8 kN cracks appeared at the tension side, as evidenced
by a small decrease in the load. Thereafter, the main reinforcement yielded. At a
deflection of 28 mm, a longitudinal crack developed, and there was slight pulling
out of the main reinforcement bars as apparent from a small drop of the load. In this
experiment, a few re-loadings were performed. The overall behaviour was considerably
better with 4% by volume of fibres than with 2% by volume of fibres.
[0401] The crack pattern is shown in Fig. 28 C.
Beams With 6% by Volume of Steel Fibres (B.6.I and C.6.III)
[0402] Before the loading, no micro cracks were observed. The force/displacement curve up
to failure is substantially linear, and during this part of the loading, no cracks
were observed. Not until a load of about 31 kN, crack formation occurred - in the
form of only one central crack at the tension side. At the same time, a small decrease
of the load was observed. Thereafter, the main reinforcement yielded, but there was
no development of longitudinal cracks, nor was there any pulling out of the reinforcement
bars, nor was there formation of further transverse cracks (apart from local cracks
very near to the primary cracks). Also in this experiment, re-loadings were performed.
The performance of the beams with 6% by volume of steel fibres was considerably better
than for beams with 2% or 4% of fibres. Especially, the beams showed extremely good
internal coherence, with no cracks at all up to yielding and then only a few cracks
around the yielding steel, leaving the remainder of the beams substantially unaffected
even after very large deformations.
[0403] The crack pattern is shown in Fig. 28 D.
Comments on the Crack Observations
[0404] The behaviour of all beams with fibre reinforcement was astonishing, also after ultimate
load.
[0405] The cracking of beams with 2% or 4% by volume of fibres, respectively, after yielding
indicates a potential for a much more promising behaviour than actually observed with
the test beams.
[0406] The reason is that the main reinforcement in the test beams was intentionally arranged
in a manner which does not protect against cracking parallel to the main reinforcement
and pulling out of the main reinforcement. Thus, there was no transverse reinforcement
at all as is normally used for reinforced beams (and is always used in heavily reinforced
beams).
[0407] This combination of heavy reinforcement and lack of protecting transverse reinforcement
was chosen for research purposes to study the pure effect of fibres on the retainment
of internal coherence. For practical design purposes, transverse reinforcement would
be used, just as in ordinary concrete.
Strain Recording
[0408] Strains at the tensile side of the beams were recorded during loading and unloading
in the same set-up as used in the force deflection experiments. Strains were measured
by means of strain gauges which were glued to the underside of the beams in a central
position. The beams were loaded as follows: a beam without fibres was loaded from
zero up to 5kN 10 times and then from zero to 10 kN 10 times, while beams with reinforcing
fibres were loaded from zero up to 10 kN 10 times and from zero up to 20 kN 10 times.
[0409] Simultaneously, the force and deflection were recorded.
Comments on the Results
[0410] For beams with 0% and 2% of fibre reinforcement, cracks occurred at high loads (10
kN and 20 kN, respectively) as indicated by rupture of the strain gauge.
[0411] For all other beams, no cracks were observed. One of the beams with 6% of fibres
was later examined under microscope and was found to have a perfect crack-free surface.
[0412] The beams having 4% and 6% by volume of fibres showed a substantially linear behaviour
at load of 20 kN with very little hysteresis after the first load cycle. (During the
first load cycle, and initial change in stifness took place, very similarly to what
happened in the dynamic tests described in Example 4, where the phenomenon is discussed).
The beams did not have any visible cracks in spite of the fact that the bending stresses
were more than 100 MPa and the strains were about 2.5 mm/m. The formal modelus of
elasticity, calculated as the formal bending stress at 20 kN (about 110 MPa) divided
by the corresponding formal strain, was 31,000 MPa and 35,000 MPa referring to the
first load cycle and the tenth load cycle, respectively.
[0413] This behaviour is to be compared with that of reinforced beams of ordinary concrete
and strong concrete according to known art which typically cracks at bending stresses
from 3 to at the most 15 MPa corresponding to strains about 0.1 to 0.2 mm/m and ruptures
at bending stresses from 25 (good concrete) to 75 (high quality super concrete with
compressive strengths in the range of 120-150 MPa).
EXAMPLE 2
BENDING TESTS ON LARGE BEAMS
[0414] Bending tests were performed on large beams of Portland cement-microsilica-based
CRC reinforced with deformed bars.
[0415] The experiment represents an extension of the experiment with small beams (50x50x500
mm) in Example 1, the experiment being made to verify the behaviour in larger scale
and to obtain supplementary information.
[0416] The main purpose was
1) to determine the bending capacity of the beams at loads up to initial yielding,
2) to determine stress strain relations during the loading up to yielding and to determine
the rigidity,
3) in connection with one of the beam types, to determine the resistance against shear,
4) to study crack patterns,
5) to determine the reliability of CRC structures
Test Beams
[0417] 4 Types of test beams were tested, each type comprising 3 individual beams. The lengths
were about 2100 mm, the width from 80-160 mm and the heights from about 90 to about
200 mm.
[0418] Beam dimensions and arrangement of reinforcement are shown in Fig. 29. In Fig. 29,
a test beam 1 is loaded with two identical forces 2 and is supported on supports 3.
The cross sections of the test beams are shown in A-D where the dimensions, in mm,
are indicated. D is not in the same scale as the other sections, and C has the same
dimensions as B. The sections show the reinforcement bars 8 and the fibre reinforced
matrix 9.
[0419] In the beams of section A, termed BR20, the reinforcement bars had a diameter of
20 mm. At the bottom of the beams, 5 bars were arranged at a distance of 23 mm from
the centre of the bar to the bottom of the beam, and at the top of the beam, two bars
of the same dimension were arranged, also at a distance of 23 mm between the top surface
and the centre of the bar. In the beams of section B, termed BT16, two layers of each
three bars of diameter 16 mm were arranged at the bottom, the distance from the bottom
of the beam to the centre line of the lower bottom layer of reinforcement bars being
21 mm, and the distance between the lower layer and the upper layer in the bottom
zone of the beam being 26 mm from centre line to centre line. At the top of the beam,
two bars of the same size were arranged, the distance between the top of the beam
and the centre line of these bars being 21 mm.
[0420] In the beams of section C, termed BT25, two layers of each two bars of diameter 25
mm were placed at the bottom of the beam, and two bars were placed at the top of the
beam. The distance between the bottom of the beam and the centre line of the lower
layer in the bottom zone was 25 mm, and the distance between the centre lines of the
two layers of bars in the bottom zone of the beam was 35 mm. The distance between
the top of the beam and the centre line of the two bars in the beam top zone was 25
mm. In the beams of section D, termed BDR14, three bars of a diameter of 14 mm were
arranged in the bottom zone of the beam, the distance between the bottom of the beam
and the centre line of the three bars being 19 mm, and two bars of the same dimension
were arranged at the top of the beam, the distance between the top of the beam and
the centre line of the two bars being 18 mm. (In addition to the longitudinal main
reinforcement shown, the beams were reinforced with stirrups at the beam ends as an
extra safeguard against local failure, etc. at the supports. This reinforcement is
without any influence on the results). As appears from the figure, the beams were
only reinforced with longitudinal reinforcement (apart from the above-mentioned stirrups
at the supports). As a safeguard against compression failure in the upper zones of
the beams, the upper zones were also reinforced with longitudinal main reinforcement.
[0421] In the testing of the beams of sections A, B, and C, the span between the supports
3 was 1840 mm, and the distance between the two applied forces 2 was 420 mm. In the
testing of the beams D, the span between the two supports 3 was 1920 mm, and the distance
between the two forces D was 500 mm.
[0422] The type, dimensions, and mechanical properties of the main reinforcement appear
from Table 2.1.
TABLE 2.1
| Yield stress, ultimate strength, yield strain and modulus of elasticity (at load up
to 70% of yield) of the reinforcing bars used in this example - mean values of 3 tests. |
| Reinforcement Type |
Diameter mm |
Yield Stress MPa |
Ultimate Stress MPa |
Yield Strain mm/m |
Modulus of Elasticity MPa |
| KS550S |
20 |
579.9 |
760.5 |
2.7 |
216,000 |
| KS550S |
16 |
587.1 |
797.0 |
2.8 |
211,000 |
| KS550S |
25 |
599.2 |
803.9 |
- |
- |
| KS410S |
14 |
472.0 |
774.0 |
2.2 |
216,000 |
[0423] The constituents of the matrix (including the fibres) are shown in Table 2.2.
TABLE 2.2
| Matrix Constituents |
Per Cent by Volume |
| Matrix: |
coarse quartz sand, maximum size 4 mm |
|
| 44.6 |
| cement/silica binder,vide below |
49.6 |
| steel fibres (0.5 mm x 6 mm) |
5.8 |
| Cement/Silica Binder: |
cement, average particle size 5-10 µm |
|
| 47.6 |
| microsilica, average particle size 0.1-0.2 µm |
|
| 16.1 |
| water |
33.7 |
| dispersing agent (powder) |
2.8 |
Matrix Materials and Preparation
[0424] The materials, the mix composition and the preparation of the matrix were as described
in Example 1 with the exception of any differences which appear from the following.
Quartz Sand
[0425] The same fractions as in Example 1 were used, but from a different charge. The result
of the particle size analysis is shown below.

White Portland Cement
[0426]
| Density |
3150 kg/m³ |
| Specific surface (Blaine) |
433 m²/kg |
0.21% by weight was coarser than 90 µm.
[0427] The Composition of the White Portland Cement as Determined by chemical analysis is
stated in Table 2.4 below:
TABLE. 2.4
| Parts by Weight of Constituents of the Cement, Based on the Total Weight of the Cement |
| Constituent |
Parts by Weight |
|
| H₂0, 110°C |
|
|
| SiO₂ |
24.2 |
|
| Al₂O₃ |
1.88 |
|
| Fe₂O₃ |
0.34 |
|
| CaO |
69.2 |
|
| MgO |
0.53 |
|
| SO₃ |
1.93 |
|
| Ignition loss |
1.12 |
|
| K₂O |
0.04 |
Acid Soluble Alkali |
| Na₂O |
0.11 |
| Na₂O equivalent |
0.14 |
| K₂O |
0.007 |
Water Soluble Alkali |
| Na₂O |
0.018 |
| Na₂O equivalent |
0.023 |
[0428] The compressive strength of test specimens of the cement according to DS427 was:
| after 24 hours |
22.8 MN/m² |
| after 7 days |
51.8 MN/m² |
| after 28 days |
59.9 MN/m² |
Mix composition
[0429] The mix composition was identical to the mix of Example 1 containing 6% by volume
of steel fibres. The composition appears from Table 2.5.
TABLE 2.5
| Mix Ingredients |
Grams |
| White Cement |
7750 |
| Microsilica |
1850 |
| Flube |
230 |
| Quartz Sand |
0-0.25 mm |
1727 |
| 0.25-1 mm |
3492 |
| 1-4 mm |
7001 |
| Water |
1740 |
| Fibres |
4710 |
| Fibre Content, vol% |
6 |
[0430] The mix composition refers to a total volume of approximately 10 litres. The size
of the batches was suited to the volume of the test bodies.
Preparation
[0431] The mixing was performed in a 50 litre planetary mixer. The vibration was performed
on a vibrating table, frequency 77 Hz, acceleration 22 m/sec.². The beams and test
cylinders cast were wrapped in wet towels and covered with plastic and then cured
for 1 day at 50°C and for 18 days at 45°C.
Experimental Set-up
[0432] The beams were simply supported and loaded with 2 identical forces placed symmetrically
around the middle of the beam as shown i Figure 29.
[0433] By this arrangement, the central part of the beams between the loading points is
subjected to pure bending with a constant bending moment.
[0434] During the loading, the deflection of the beams was measured by means of displacement
transducers arranged
1) at the centre of the beams (A),
2) at the load points (A), and
3) at the supports (B),
the transducers (A) being Penny and Giles Potentiometers, Model LVDT DS 1316, the
transducers (B) being Penny and Giles Potentiometers, Model LVDT DS 1354.
[0435] In addition, longitudinal strains were measured at the middle of the beams by means
of strain gauges arranged at the surfaces of the beams and on the reinforcing steel
(glued to the steel in a short groove, width 2.5 mm, depth 5 mm milled into the reinforcement,
except for beam type BDR14 where the strain gauges were glued to the upper and lower
sides of the bar). The strain gauge types arranged on the surfaces of the beams were
HBM20/120 LY41, and HBM50/120 LY41 in the compression and tensile zones of the bar,
respectively, and the strain gauges used in the reinforcement were HBM61/120 LY51.
Crack formation was studied by means of a PEAK Stand Microscope, magnification 25x.
[0436] The loading experiments for the beams BR20, BT16, BT25 were performed in an INSTRON
machine, type 1255, and the loading experiments for the beams BDR14 were performed
in a SCHENCK hydropulse equipment (cylinder PL63kN).
Experimental Procedure
[0437] The application of the load was deformation controlled and was performed in stages
with pauses of 2 minutes (for the beam types BDR14 and BR20) and 5 minutes (for the
beam types BT16 and BT25), respectively, at each loading stage. The rate of application
of increasing load corresponded to a rate of displacement of 1 mm/min.
[0438] The loading was continued until initial yielding was detected (due to the experimental
technique used it was not possible to investigate the behaviour of the beams during
complete yielding such as was done in the experiments in Example 1).
[0439] Then, the load was released, and reloading was performed in the same manner as described
above.
[0440] In one experimental series (BDR14), additional release/reloading cycles were made
at about 60% and about 80% of the yield value, respectively.
[0441] During the loadings, corresponding values of 1) applied force, 2) positions (displacements)
of the beam middle, force attack points relative to the supports and strains at the
surfaces of the beams and at various places in the reinforcement were recorded.
Results
[0443] Normalized bending strains were calculated from three different series of measurements:
1) the total deflection,
2) the relative deflection, i.e. the difference between the displacement of the middle
part and the displacement of the force attack points, and
3) strain measurements.
[0444] The results of the series of measurements for one of the beams is shown in Fig. 42,
in which the curves 1, 2, and 3 refer to the series 1, 2, and 3 mentioned above.
[0445] As illustrated in Fig. 42 (and confirmed by measurements on the other beams), there
was a high degree of conformity between the curves showing the normalized moments
(formal bending stresses) versus normalized strains calculated from the three different
series. Therefore, the following discussion of the results is limited to the results
calculated from the determination of the total defections.
[0446] Figs. 30-33 show average curves representing force/deflection for each beam type:
BT16 (Fig. 30), BR20 (Fig. 31), BT25 (Fig. 32), and BDR14 (Fig. 33).
[0447] The mean values and the statistical data are shown in Tables 2.6-2.9.
[0448] Figs. 34-37 show the relations between normalized bending moments (formal bending
stresses) and normalized strains calculated from the data in Figs. 30-33 and from
Tables 2.6-2.9. Fig. 34 applies to beams of type BT16, fig. 35 applies to beams of
type BT25, Fig. 36 applies to beams of type BDR14, and Fig. 37 applies to beams of
type BR20. Figs. 38-41 show the corresponding values of normalized modulus of elasticity
as a function of normalized moments/normalized strain. Fig. 38 refers to beams of
type BT25, Fig. 39 refers to beams of type BDR14, Fig. 40 refers to beams of type
BT16, and Fig. 41 refers to beams of type BR20.
[0449] During the experiments, the surfaces of the beams were observed to detect cracks.
The best possibilities for observations were at the vertical sides of the beams, along
the whole length as far as the beams of the type BDR14 are concerned, and only in
the zones outside the middle zone, in other words between the force attack points
and the supports, as far as the other test beams are concerned. After the experiment,
the surfaces of the beams in unloaded condition were studied.
[0450] In general, the beams may be characterized as substantially uncracked as determined
with the naked eye. By means of the microscope, the following was observed:
At loads corresponding to 50-70% of the yield load (corresponding to formal bending
stresses about 70-110 MPa) fine microcracks (thickness about 20-60 µm) were observed.
the cracks started in the domain above the main reinforcement and then developed downwards
at higher loads, but stopped in the zone at the level of the reinforcement (a very
few cracks developed also all the way down to the bottom). It is remarkable that almost
all microcracks stopped in the zones where the reinforcement was placed, as this zone
is under higher strain than the middle zone where the cracks developed.
[0451] At yielding, some of the cracks developed to the bottom of the beam.
[0452] For beams of type BT25, shear failure occurred. At yield, a large crack, width 5
mm, developed from the point of support to the attack point of the force. The formal
shear stress at failure, calculated as

gave
where T is the shear force, b is the width of the beam body, and h
i is the distance the centre of compression and centre of tension.
[0453] After deloading, the beam was reloaded and was able to carry almost the same load
as the load at which it failed in the first experiment. This is presumed to be due
to good fixation of the main reinforcement in the fibre reinforced matrix even after
large deformations.
[0454] As mentioned above, test cylinders (dimensions 10 cm diameter x 20 cm height) were
cast in connection with the casting of each beam. The average values of the compressive
strength of these control cylinders (9 series with six specimens and 3 series with
three specimens, corresponding to the 12 beams) varied between 171.1 MPa and 197.1
MPa with standard variations varying from 3.5 to 10.5 MPa.
Comments on the Results
[0455] The results fully verified the promising results obtained with small beams, cf. Example
1, and supported the theoretical considerations with respect to upscaling to large
bodies with retention of the same exceptionally good behaviour.
[0456] Although beams with cross sections of about 100 x 200 mm and a length of about 2100
mm are not large compared to, e.g., large bridges, the experiments, combined with
theoretical considerations, support the presumption that the beneficial behaviour
observed with small beams can be safely upscaled to even very large structures.
[0457] The yield values - expressed as normalized moments (formalized bending stresses)
were from 120 MPa to 160 MPa. This is in good conformity with what would be expected
from theoretical assessments based, inter alia, on the experience from Example 1.
[0458] These values are very high compared with conventional good reinforcement which would
typically have formal bending stresses of about 20 MPa.
[0459] As appears from Figs. 30-33, the force/deflection curves were smooth and the beams
showed a large rigidity during the entire loading even up to yielding.
[0460] This is also illustrated by the curves showing normalized stiffness (modulus of elasticity)
as a function of normalized bending stress (Figs. 38-41).
[0461] Thus, the results illustrate the unique combination of strength and stiffness even
up to very large normalized strain load (about 3.8 mm/m). Conventional reinforced
concrete loaded to a normalized strain of for example 2 mm/m would have shown pronounced
cracking and would have carried a load corresponding to only about 15-20 MPa, thus
corresponding to a normalized modulus of elasticity of about 10,000 MPa as compared
to the values of about 40,000-50,000 MPa in the CRC beams.
[0462] The crack observations confirmed the coherent behaviour of the CRC structures with
substantially no cracks visible to the naked eye even at very high loads (more than
100 MPa in bending stress and more than 3.8 mm/m in bending strains).
[0463] The majority of the very fine cracks observed were in the middle of the beams, thus
outside the most stressed bottom zone which was protected against cracking passing
the reinforcement.
[0464] This astonishing behaviour compared to what happened in conventional reinforced concrete
is illustrated in Fig. 43 which shows the crack behaviour of CRC and conventional
reinforced concrete, respectively. Fig. 43 shows a view and a section of a beam A
of conventional concrete 2 reinforced with steel bars 1 and a similar view and section
of a CRC beam B with a fibre reinforced matrix 3 and a concentrated steel reinforcement
1, both beams being under bending load. The conventional reinforced concrete beam
shows cracks 4 starting from the outermost tensile strained surface (the lower side
of the beam) and developing inwards passing the reinforcement, whereas the CRC beam
only shows very small cracks in the unreinforced zone above the level of the lower
reinforcement.
Reliability
[0465] The experiments demonstrated substantially identical behaviour of beams of the same
type, which clearly appears from the statistical results. The substantially identical
behaviour can also be illustrated by drawing force deflection graphs for beams of
the same type on the same sheet of paper (the latter, however, not being shown because
the graphs coincide almost completely and can hardly be distinguished from each other).
[0466] The coefficients of variation were very small compared to what is typically observed
in beam tests on ordinary reinforced concrete. Obviously, the reason is the high degree
of internal coherence of the CRC material at all structural levels. Large local and
global ductility secures a substantially uniform stress-strain distribution without
the discontinuities normally encountered in semi-brittle materials like reinforced
concrete due to the formation and development of large crack, for example typically
cracks passing the main reinforcement. This very high reliability of CRC structures,
even under very high load, makes the CRC material a very safe one for even very heavily
loaded structural members.
Possible Improvements
[0467] The test beams did not in any regard represent optimum structures. The structures
were designed, inter alia, with a view to investigating the behaviour over a broad
spectrum of structures. In the following, structural characteristics of the test beams
and possible improvements thereof will be discussed.
1) Main Reinforcement
The diameter of the reinforcing bars were 14, 16, 20 and 25 mm, respectively, which
is 1.75, 2.0, 2.5 and 3.1 times larger, respectively, than the diameter of the bars
used in Example 1 (8 mm).
The larger bars - and the corresponding larger size of the open space between the
bars - were used without changing the matrix, in other words, still using the same
matrix based on fibres of a length of 6 mm.
By increasing the size of the bars while keeping the matrix unchanged, the resistance
against local failure (splitting along bars, etc.) is decreased because the local
brittleness number σ²₀D/EG is increased proportionally to the diameter.
Similarly, the strain capacities in the reinforced zone are smaller than if for example
8 mm bars had been used in the same volume concentration, as the use of the larger
bars increases the size of the small separated matrix volumes formed between the reinforcement
bars by a factor of 1.7-3.1.
The performance of systems with the large diameter reinforcement could thus be improved
with respect to cracking in the reinforced zone by using smaller bars, for example
bars of a diameter of 8 mm, keeping the volume concentration of the bars constant
and using the same matrix. From the point of view of castability, this would not give
any problems.
2) Microcracking
Microcracking in the zone above the reinforcement could be avoided by reinforcing
that zone, typically less heavily than the bottom zone.
3) Matrix
The system behaviour could also have been improved even while maintaining the large
reinforcement by changing the structure of the matrix to adapt it to the larger transverse
dimensions of the space between the reinforcement bars, using, for example,
1. longer fibres,
2. a higher volume concentration of fibres,
3. bimodal fibre systems (for example combining 12 mm fibres and 3 or 6 mm fibres).
4) Ultra-Strong Members
The beams could also have been made able to perform under even extremely high load
levels such as formal bending stresses of 250-320 MPa by such means as
1. using up to 50% or 70% more reinforcement
2. using stronger reinforcement, for example with a yield value of 600-1100 MPa instead
of 550 MPa
3. using a stronger matrix, for example based on Al₂O₃ sand, keeping the size of the
reinforcement small (e.g. 8-12 mm).
Also this would be possible from the point of view of casting. For example, space
between the bars would in this case be 3-4 mm and the space between the outermost
bars and the surface would also be about 3-4 mm.
The matrix could be substantially the same as used in Example 1, only with a small
reduction in particle size, for example using sand with a maximum diameter of 2 mm
(instead of the 4 mm used above) and a high concentration of material between 1 mm
and 2 mm.
EXAMPLE 3
BENDING TEST ON STRONG CRC BEAM
[0468] Bending tests were performed on a strong 100x100x850 mm CRC beam heavily reinforced
with strong reinforcement in the longitudinal direction of the beam, but with no transverse
reinforcement.
[0469] The matrix material was of the same type as in Examples 1, 2, and 4 (based on quartz
sand, cement, microsilica, and 6% by volume of steel fibres).
[0470] The reinforcement (20 mm deformed bars KS600) was very similar to the reinforcement
used used in Example 1, 2, and 4, but was somewhat stronger with a guaranteed yield
value above 600 MPa.
Purpose of the Experiment
[0471] The purpose of the experiment was to investigate the capability of CRC bending members
without special transverse reinforcement to resist heavy shear forces (in normal steel
reinforced concrete, shear forces are taken up by means of stirrups or inclined bars).
In the present case, it was investigated to what extent the strong, tough, fibre-reinforced
matrix alone was able to resist the shear forces and thus, to see to what extent it
is possible to use the simpler arrangements with no shear reinforcement in bodies
exposed to the combination of bending and shear.
[0472] It will be appreciated, however, that, as explained above, CRC is by no means limited
to such structures without a special shear reinforcement, and that one aspect of the
invention discussed further above is that the strong fixation of reinforcement in
the matrix makes it possible to establish a complete new transverse reinforcement
strategy which results in extremely high shear capacity.
[0473] Another purpose of the experiment was to investigate the bending behaviour up to
the load causing shear failure.
Test Beam
[0474] As mentioned above, the beam had a length of 850 mm and a cross section of 100x100
mm.
[0475] In order to avoid bending failure (as the purpose was to study shear behaviour),
the beam was heavily reinforced with strong reinforcement consisting of 3 deformed
bars KS600, diameter 20 mm, placed in the bottom zone and 2 bars of the same kind
placed in the top zone.
[0476] Thus, the volume concentration of reinforcement in the tensile stressed zone at the
bottom was 18.8%, calculated on the tensile zone.
[0477] The density and compressive strength of the matrix material were determined on test
specimens (cubes 100x100x100 mm) which were cast and stored together with the test
beams. It was found that the density was 2680 kg/m³ and that the compressive strength
was 209 MPa. These values are the average of 4 determinations, the coefficient of
variation for the compressive strength determinations being 8.5%.
Recipe and Preparation
[0478] Recipe and preparation were as described in Example 2, except that the type of mixer
and vibrating table were not the same as described in Example 2, but were very similar.
The beam and the test specimens were stored at 40-50°C.
Experimental Set-up
[0479] The beam was simply supported (span 750 mm) and was loaded with a central force in
a 25 tons testing machine.
[0480] During the testing, the applied force and the strain at the bottom side of the beam
under load were recorded. During the testing, the surface was observed in order to
detect cracks.
Result
[0481] At a loading up to 197 kN, the beam was deformed without any visible cracks, whereafter
a shear crack developed (above the bottom reinforcement and at an angle of 45°) still
without any visible tensile cracks at the bottom of the beam. The strain at the bottom
of the beam loaded with 197 kN was 3.75 mm/m.
[0482] At a load of 203 kN, a fracture occurred along the bars. Thereafter, the load fell
to about 70 kN.
[0483] The shear capacity before any cracking (as observed with the naked eye), corresponding
to the load of 197 kN was 14.8 MPa, calculated as normalized shear capacity,
T/ 2/3 BH, where the shear force T = 1/2 ·197 kN, and the width (B) and the height
(H) of the beam both are 0.1 m.
[0484] Before the shear cracking at the load of 197 kN, the normalized bending capacity
and the strain in the bottom surface zone under the load application point were
respectively.
[0485] The normalized bending capacity (formal bending stress) is calculated as M/ 1/6 BH²
where the bending moment M is 1/4 · 197 · 0.75 kNm.
[0486] From these values, the "normalized modulus of elasticity", here defined as

, is calculated to be E = 59,200 MPa.
[0487] The ultimate load capacity of 203 kN corresponds to a formal bending stress of σ
ult ∼ 228 MPa and a formal shear stress of τ
ult = 15.2 MPa.
Comments on the Results
[0488] The shear experiment shows that the matrix itself is capable of transferring large
loads in shear in CRC beams with a high concentration of thick main reinforcement
(almost 20% by volume in the tensile zone of bars of a diameter of 20 mm in a beam
having a cross section of 100x100 mm), but without any transverse reinforcement, the
ultimate shear stress being about 15 MPa.
[0489] This formal shear capacity of about 15 MPa is a high value compared to conventional
good reinforced concrete which, in contrast to the present beam, has special transverse
reinforcement to take up shear.
[0490] What is fascinating about the result is perhaps not that the specific tough reinforced
matrix itself can transfer large shear stresses - in fact the values correspond well
with what would be expected from experiments on the matrix material in bulk - but
that it can do this in perfect co-operation with the very heavy main reinforcement.
[0491] This illustrates the eminent coherent matrix-reinforcement interaction with good
fixation of the reinforcement and strong coherence of the matrix, permitting the structure
to function substantially crack-free (until the failure at a very high load) without
the severe fracture along the main reinforcement which would undoubtedly have taken
place (at a very low load) if a similar amount of heavy reinforcement had been placed
in a beam made from conventional concrete materials.
[0492] Actually, according to the code of practice, it would not be allowable to use a beam
of ordinary concrete with such a heavy reinforcement.
[0493] With respect to bending, the tests demonstrated the potential capacity in bending
to be obtained in CRC structures - values which would have been considered completely
unattainable and unrealistic prior to the present invention. Thus, the test beam demonstrated
a bending capacity (formal bending stress) of at least 222 MPa. Actually, the beam
functioned perfectly without any bending cracks up to a formal bending stress of 222
MPa (and a corresponding strain of 3.75 mm/m) when the shear failure started. There
was no sign that the formal bending stress had been close to the upper limit which
could have been reached if the shear failure had not occurred.
[0494] At that state, the overall stiffness (the stress divided by the strain) was 59,200
MPa. This is an extremely high stiffness in combination with a very high bending stress
level ( σ = 222 MPa ).
[0495] An estimate shows that beams with cross sections like the one tested, but secured
against shear failure (using shear reinforcement or using longer beams which would
not have been subjected to the same high shear) would more likely have a yield value
in bending corresponding to a formal bending stress in the range of 260-300 MPa, and
would most likely perform well up to yielding with regard to internal coherence without
matrix cracks passing the reinforcement at all - or with only very thin cracks passing
the main reinforcement.
EXAMPLE 4
DYNAMIC TESTS ON BEAMS - FATIGUE
[0496] Three CRC beams were subjected to very large oscillating loads (formal bending stresses
from zero to 50, 83 and 102 MPa, respectively, corresponding to about 42, 70 and 86%
of the static yield limit, respectively).
[0497] The beams were Portland cement/microsilica-based beams reinforced with deformed steel
bars, length 2082 mm, width 84 mm, height 90 mm of the same type as the beams (type
BDR14) used in the static loading experiments in Example 2.
[0498] The purpose of the experiments was to investigate CRC structures under oscillating
loads at very high stress and strain levels.
[0499] It is well-known that conventional brittle materials reinforced with fibres or bars
have a rather poor behaviour at oscillating strain loads exceeding the tensile strain
at which the matrix cracks.
[0500] Thus, such conventional materials mostly have a poor fatigue resistance (unless the
tensile strength of the matrix material in itself is very high) despite the fact that
the reinforced material may have a far higher tensile capacity than the matrix because
the reinforcement carries a considerable load after matrix cracking. This is, e.g.,
the case with conventional reinforced concrete and strongly reinforced fibre cement
products.
[0501] The question regarding the bending behaviour of CRC structures under oscillating
loads (thousands of times or up to more than five million times) from, e.g., zero
to a peak value is whether the structure would
1) fail at strains similar to the ultimate strain of the base matrix in bulk under
static tension, i.e. whether the material will fail due to spreading of base matrix
destructions which, with reference to the base matrix material in question, would
be at tensile stresses of about 10 MPa and tensile strains of about 0.2 mm/m or
2) whether the CRC structure would not fail until subjected to tensile strains similar
to the tensile strains which cause cracks in the fibre reinforced matrix in bulk,
i.e., without the main reinforcement (this would correspond to a tensile strain of
about 0.6-1 mm/m) or
3) whether the CRC structure would not fail until subjected to so large stresses that
they would cause fatigue of the main reinforcement, with the matrix material substantially
coherent until failure. This would correspond to a load introducing stresses in the
reinforcement of 70-80% of the yield values, which, for the test beams in question,
corresponds to normalized bending moments (formalized bending stresses) of about 80-90
MPa and to strains of about 3 mm/m.
[0502] In order to include possibility 3, it was decided to start in the upper end with
oscillating loads from zero up 86, 70 and 42%, respectively, of the the yield load
and simply observe what happened.
Test Specimens (Beams 84x90x2082 mm)
[0503] The test beams were of the same type as the beams in Example 2, Type BDR14, and were
actually prepared and cast together with these. Thus, the data regarding preparation,
mix composition, structure of the matrix, etc. are the same as in Example 2.
[0504] The main data from the static tests on similar beams and the tests on specimens of
the matrix materials are shown in Table 2.9. and Fig. 33.
Experimental Set-up
[0505] The beams were loaded with two identical forces in the same manner as described in
Example 2 and in the same equipment as was used in the static experiments with the
beams of the type BDR14.
[0506] At their middle, the beams were provided with strain gauges glued onto the surfaces
of the beams and to the top and bottom surfaces of the middle reinforcement bar in
the tensile zone, and displacement transducers were established for measuring the
defections according to the same principle as in the corresponding static experiments.
[0507] The beams were subjected to oscillating deformation-controlled loads from about zero
to loads which in static experiments correspond to formal bending stresses of 50,
83 and 102 MPa, respectively (which corresponds to 42, 70 and 86%, respectively),
of the static yield values referring to average values found in Example 2 for type
BDR14).
[0508] The individual experiments were performed with constant displacement amplitude. By
keeping the displacement amplitude constant, the peak force will decrease during the
test (due to non-reversible deformations). However, as will be seen from the results,
the decrease in peak force during the experiments, even up 2,000,000 of load cycles,
was very small so the experiments can also be considered almost as constant peak force
experiments.
[0509] Two of the beams (the two most heavily loaded) failed during the experiment, whereas
the last beam was intact after 5,305,150 load cycles.
[0510] After the dynamic test, and after examination of the surface to detect crack development,
the intact beam was loaded again, this time statically, until yielding, following
the same procedure as in the static experiments (vide Example 2).
Test Results
[0511] The test results from the dynamic tests are shown in Table 4.1. The results from
the static tests on similar beams are shown in Table 2.9.

[0512] The experiments were carried out until fracture, frequency 5 Hz, except for the beam
which withstood 5,305,150 cycles without fracture, where the testing was performed
at 10 Hz.
[0513] The two most heavily loaded beams failed after 403,790 and 52,430 cycles, respectively.
[0514] The peak load changed very little during the experiment, i.e., 9, 12 and 0%, respectively.
[0515] Thus, the tests may be considered almost as constant peak load experiments corresponding
to moment peak loads of about 50, 83 and 102 MPa, respectively (formal bending stresses,
the values being 42, 70 and 86%, respectively, of the static yield values).
[0516] Cracking was investigated after the first load cycle and after failure. There was
substantially no development of cracks to be observed from the first cycle to failure
after 5,305,150, 403,790 and 52,430 cycles, respectively.
[0517] From the two beams which failed, material was cut away from the bottom surface in
the failure zone by means of a diamond saw, thus exposing the surface of the main
reinforcement.
[0518] In two of the beams, fatigue failure occurred in one reinforcing bar (beam section
corner) and two reinforcing bars (beam section corner and middle), respectively. The
failure was assessed by a drop in the peak force whereby the oscillating equipment
stopped automatically.
[0519] The beam loaded with P
max about 15.9 kN did not fail and the loading was stopped after 5,305,150 cycles.
[0520] The peak force had dropped from P
max = 15.9 kN at the start to P
max = 14.5 kN after 5,305,150 cycles, in other words, a decrease of only about 9%.
[0521] Also for this beam, the fatigue experiment may be considered as a constant peak force
experiment with a force variation between almost zero and at least 14.5 kN (corresponding
to a normalized moment (formalized bending stress) of about 41 MPa, which is about
38% of the static yield value.)
[0522] From the first loading to 5,305,150 load cycles very little crack development was
observed. After the 5,305,150 load cycles, the test beam was loaded statically (slowly)
to yielding.
[0523] Fig. 44 show the force/displacement curve 6 for the static loading of this beam,
together with the force/displacement curve for a similar beam from the static tests
in Example 2 on which two reloading cycles were performed: Curve 1 represents the
loading, curve 2 the first deloading, curve 3 the first reloading, curve 4 the second
deloading, and curve 5 the second reloading. It will be noted that the force/displacement
curve 6 for the static loading of the beam which had been subjected to 5,305,150 loads
cycles, has the same slope as the curve for the second reloading of the beam from
the static tests in Example 2.
[0524] Thus, the beam showed substantially the same behaviour until yielding as the beams
in the static tests. The present beam which had been subjected to oscillating loading
only showing a somewhat larger stiffness.
Comments on the Results
[0525] The test results demonstrated that the typical CRC performance where the reinforcement
increases the strain capacity of the matrix applies even to a very large number of
load cycles at very large loads (large strains). The matrix was substantially coherent
and did not lose its ability to transfer large loads and retain large rigidity. This
was clearly demonstrated by the substantially unaffected beam loaded more than 5,000,000
times. These experiments also illustrate a slight matrix structure rearrangement which
takes place during the first load cycle and which gives rise to increased stiffness
during the following load cycles.
[0526] The exceptional behaviour was also demonstrated very convincingly by the high load
experiments where the ultimate failure was undoubtedly a pure fatigue failure of the
main reinforcement, no change in the coherence of the matrix material taking place
before failure.
[0527] The following facts confirm that the failure is a pure fatigue failure in the main
reinforcement:
1) The stresses in the reinforcement (corresponding to a strain of about 1.8 mm/m)
are of a magnitude which may give rise to fatigue failure in the reinforcement.
2) The capability of the matrix to transfer loads seem to have been substantially
unchanged, as assessed by the fact that the peak forces built up during the constant
displacement experiments remained practically constant during the load cycles.
3) There was substantially no crack development from after the first load cycle to
the end of the tests (except for the single failure crack in connection with the reinforcement
failure).
[0528] This strongly indicates that CRC structural members with extremely high capacity
for resisting oscillating loads are a reality, and that the limit for such structures
is set by the fatigue strength of the reinforcement, not by the matrix.
EXAMPLE 5
DYNAMIC TESTS ON MATRIX MATERIAL IN COMPRESSION - FATIGUE
[0529] Cylinders of matrix material identical with the cement-microsilica-steel-fibre-based
material used in Examples 2, 3, and 4 were subjected to oscillating compression loading.
[0530] The specimens were loaded with oscillating pressures varying from very small values
(approximately 3 MPa) to a peak value selected in the range from about 90-60% of the
compressive strength as determined in static experiments.
Purpose of the Experiment
[0531] CRC structures are always provided with a high concentration of main reinforcement
to take up tensile forces. Sometimes, the CRC structures are also provided with reinforcement
to take up compressive forces, but as the matrix itself is able to take up considerable
compressive forces, the need for reinforcement in the compressive zones of CRC structures
is much smaller. The compression strength is known to be very high in static loading.
The purpose of the present fatigue experiments was to determine the compressive strength
of a typical CRC matrix under conditions of oscillating loading.
Test Specimens
[0532] The tests were carried out on 29 cylinders of a diameter of 29 mm and height of 58
mm. The matrix material of the specimens was the same as used in Examples 2-4. The
test cylinders (and control cylinders) were prepared as described in Example 2. The
specimens were cast from 5 batches.
Experimental Set-up and Testing
[0533] Before the dynamic experiments, static experiments were performed on some of the
test cylinders and on control specimens (100 mm diameter x 200 mm height) made from
the same batches. Both the static experiments on the small cylinders and the dynamic
experiments were performed in a 250 kN pulsating equipment (Schenck hydropulse equipment
PSB 25).
[0534] As mentioned above, the specimens were loaded from about zero to peak values. For
technical reasons, the specimens were under compression throughout the experiment,
the minimum pressure being about 3 MPa.
[0535] The peak force values were selected on the basis of the result of static experiments
where a compressive strength of 208 MPa, corresponding to a force of 137.4 kN was
found:
The peak force values were selected between 89.2 kN and 126.4 kN corresponding to
stresses between about 135 and 191 MPa, in other words between about 65 and about
92% of the compressive strength determined in static experiments.
[0536] The loading was continued until failure, and the number of load cycles was recorded.
Three of the specimens did not fail when the experiment was stopped after about 1-2
millions of cycles.
[0537] The results of the static and the control experiments are shown in Table 5.1, and
the results of the dynamic experiments are shown in Table 5.2.
TABLE 5.1
| Results of Static Experiments on Test Specimens (29 mm x 58 mm) and Control Specimens
(100 mm x 200 mm), Average of 5 Experiments |
| |
Test Specimens |
Control Specimens |
| Compressive Strength MPa |
208.0 |
185.0 |
| Standard Deviation MPa |
4.5 |
4.7 |

[0538] Fig. 45 is a semi-logarithmic graph (log N, P
p/P
u) showing the best curve fit drawn through the points representing the experimental
results in Table 5.2. P
p and P
u designate peak force for dynamic load and load at failure for static load.
Comments on the Results
[0539] It will be noted that after about 100,000 loadings, the compressive strength had
decreased to about 70% of the compressive strength determined in the static experiments
and that the ultimate fatigue strength corresponding to more than 1,000,000 load cycles
was about 60-70% of the compressive strength determined in static experiments.
[0540] The results indicate that the matrix can be utilized very effectively in compression
under pulsating load up to 60% of the compressive strength of the matrix even for
several millions of load cycles.
EXAMPLE 6
PREPARATION OF HEAVILY REINFORCED CRC UTILIZING VIBRATION TRANSFERRED THROUGH REINFORCEMENT
[0541] CRC is made with a high concentration of main reinforcement, often with a high concentration
of secondary transverse reinforcement embedded in a dense matrix material containing
a high concentration of fine fibres. In most cases, the establishment of such structures
requires special precautions.
[0542] Thus, it is required
1) that the matrix material completely fills the void between the coarser reinforcement,
2) that the constituents forming the matrix material are packed in a configuration
with a very low void volume, and
3) that the matrix material is arranged homogeneously without any substantial internal
separation.
[0543] A suitable production technique is illustrated in the present example, which also
served as a test casting in connection with the preparation of 12 mm thick heavily
reinforced large CRC plates designed for a very high load capacity with respect to
resisting very large concentrated load which would normally give rise punching failure,
vide Fig 17.
[0544] The principle of the casting is shown schematically in Fig. 46. In a mould having
a rear wall 1 and a bottom 5, arranged on a vibrating table as symbolized by 6, a
system consisting of two horizontal layers of main reinforcement bars 2 and 3 perpendicular
to eachother are placed at the top and at the bottom of the box, strongly fixed to
the sides of the mould. In each of the openings between the main reinforcement bars,
a bar of transverse reinforcement 4 was arranged and was welded to the horizontal
bars, one of the welds being shown at 8. A casting mass of fibre reinforced matrix
material 7 was placed on top of the upper reinforcement layer and flowed down into
the mould aided by the vibration.
Mould with Reinforcement
[0545] Casting of a "model" of the plates was performed in an open prismatic box (160x160x120
mm) of transparent material (plexiglass) with the larger sides (160x160 mm) arranged
horizontally. The model corresponded to the mould shown in Fig. 46, but was smaller.
The reinforcement was arranged as follows:
A large amount of main reinforcement (16 mm diameter deformed bars): At the top and
at the bottom of the box, a system consisting of two horizontal layers perpendicular
to each other, each consisting of 5 bars, was arranged. The distance between the two
layers arranged perpendicular to each other in each system was 4 mm, and the distance
between the outermost layers and the interior top and bottom surfaces of the box,
respectively, was 8 mm. The distance between the bars in each individual layer was
16 mm, and the distance between the bars and the side boundaries of the box was 8
mm, vide Fig 46.
[0546] In addition to this, transverse reinforcement in the form of deformed bars (diameter
10 mm, length 100 mm) was arranged in each of the 16x16 cm openings between the main
reinforcement bars.
[0547] The total volume concentration of the reinforcing bars was about 27%.
[0548] The fixation between the main reinforcement and the sides of the box was obtained
by arranging the main reinforcement bars so that they protruded about 10 mm at the
exterior of the box, the holes in the box being sealed with silicone. The transverse
reinforcement was fixed to the upper layer of reinforcement bars (by welding) and
were placed centrally in the box so that the ends of the 100 mm bars were at a distance
of 10 mm from the top and bottom of the box, respectively.
Matrix Material
[0549] Two types of matrix material were used. One type was identical with the material
used in Examples 1-5 and comprised about 6% by volume of steel fibres (6 mm x 0.15
mm), 45% by volume of coarse sand (maximum particle size 4 mm) and about 50% by volume
of binder-forming material with about 48% by volume of cement, about 16% by volume
of ultra-fine silica, about 34% by volume of water, and about 3% by volume of dispersing
agent. The other type of matrix material was of a similar composition except that
the coarse sand was strong Al₂O₃-rich sand with a maximum particle size of 4 mm.
Mixing
[0550] The mixing was performed as described in Example 2.
Casting
[0551] The casting was performed under vibration, the mould with the reinforcement being
fastened to a vibrating table during the successive filling of the mould with the
matrix material, vide Fig. 46. The vibrating frequency was about 100 Hz, the acceleration
being 50-70 m/sec.².
[0552] The vibration was continued until the mould was completely filled as assessed visually.
This took about 10 minutes for the matrix material with quartz sand and about 7 minutes
for the matrix material with Al₂O₃.
[0553] Concomitantly with this, three reference cylinders, diameter 10 cm, height 20 cm)
were cast from the matrix material on the same vibrating table.
Observations
[0554] The base matrix material (without fibres) was a little tough (but able to flow under
its own weight as assessed on masses of a thickness of 2-4 cm). After the 6% by volume
of steel fibres had been mixed into the base matrix material, the material was much
tougher and was not capable of flowing under its own weight without applied vibration.
[0555] When arranged in 3-5 cm thick lumps on top of the top reinforcement bars which oscillated
following the movements of the vibrating table, the material immediately adjacent
to the reinforcement became easily flowable, whereas the material in the zone more
remote from the oscillating bars behaved as a tough material with a flowability which
was only slightly better than without vibration.
[0556] The easily flowable material from the lower zone flowed as a sticky mass down along
the transverse reinforcement or fell as long threads (typically of a thickness of
2-5 mm) down to the lower reinforcement in the bottom of the box and spread perfectly
over the entire open bottom space, little by little rising upwards and at last completely
filling the box, vide Fig. 46.
[0557] The matrix material did not flow nearly as well in the filling of the 100 mm diameter
and 200 mm height reference cylinders as in the filling of the box with the heavy
reinforcement. After the casting, the specimens were weighed to find the matrix density
of the material cast in the box and the material cast in the cylinders, respectively
(the volume of the free space in the box had been determined in advance by filling
the box with water and weighing the system). The densities found were as follows:
For the casting in the box
[0558]
| The matrix material with quartz sand: |
2756 kg/m³ |
| The matrix material with Al₂O₃-sand: |
2945 kg/m³ |
For the casting in the test cylinders
[0559]
| The matrix material with Al₂O₃-sand: |
2922 kg/m³ |
[0560] The result with the quartz sand matrix can be compared to the theoretical value corresponding
to 100% dense packing of the quartz sand matrix which is 2733 kg/m³. As will be noted,
the density measured on the material in the box was slightly higher than the theoretical
density, which is due to experimental uncertainty. However, taking the accuracy into
account, it must be concluded that the filling of the complicated system is extremely
good, probably with an air content of less than 2%, most likely less than 1%. The
result also indicates that the density of the material in the box is higher than that
of the material in the cylinders which, together with the observation of the inferior
flow of the material in the cylinders, indicates a better compaction in the system
in the box.
[0561] This illustrates the efficiency of the aspect of the invention according to which
vibration - contrary to conventional "good" concrete practice - is transferred from
the reinforcement to the matrix material. In the box case, the maximum distance from
the vibratory source (the reinforcement) to the material being about 5 mm, whereas
the distance from the cylinder bottom to the top was 50-150 mm.
[0562] The mechanical properties of the 3 reference cylinders cast with the matrix with
Al₂O₃-sand were determined. The compressive strength was 218.7 MPa, the sound velocity
49,260 m/sec., and the dynamic modulus of elasticity was 71,000 MPa. The compressive
strength was the average of the 3 specimens, the standard deviation being 4.7 MPa.
The methods of determining the sound velocity and of calculating the dynamic modulus
of elasticity are described in Example 1.
EXAMPLE 7
PULL-OUT TESTS
[0563] It is a characteristic feature of CRC that very large forces may be transferred between
main reinforcement and matrix in the CRC structure and that it must also be possible
to transfer large forces to or from the reinforcement when the reinforcement is placed
very close to the surface of the CRC structure; in CRC structures, good designs will
often involve arrangement of main reinforcement so close to the surface of the structure
that the layer or the fibre reinforced matrix over a main reinforcement is much thinner
than in conventional reinforced concrete.
[0564] Thus, in conventional concrete reinforced with deformed bars, the thickness of the
cover is at least 1.5 times the diameter of the bars, cf. Danish code of practice
DS 411. In CRC, the thickness of the cover will typically be of the order of only
0.3-0.8 times the diameter of the reinforcing bar, in other words, 2-5 times smaller
than in ordinary reinforced concrete.
[0565] During transfer of large forces to or from reinforcement close to the surface of
a reinforced structure, there is a risk of fracture of the matrix along the main reinforcement.
In order to investigate this phenomenon in CRC structures, pull-out tests were performed
on two types of specimens: one type having steel reinforcement bars (8 mm diameter)
cast into very thin (18 mm thick) specimens of fibre reinforced matrix (almost similar
to the one used in Examples 2-5), the thickness of the fibre reinforced matrix layer
on two sides of the reinforcement thus being only about 0.6 times the diameter of
the reinforcement (cf. test specimens FA described below), another type being prismatic
specimens with cross sections of 50 x 50 mm with 8 mm bars centrally placed therein
(test specimens of this type are designated FAK and described below).
[0566] The two types of test specimens are shown in Fig. 47. In a body of the fibre reinforced
matrix material 1, two bars 2 are embedded to an anchoring length as shown by 3. Fig.
47 shows the very thin rectangular cross section specimen where the fibre reinforced
matrix layer on two sides of the reinforcement is only above 0.6 times the diameter
of the reinforcement and the prismatic specimen with square cross section with the
bars centrally placed therein.
[0567] The fixation lengths (the length of the part of the steel bars embedded in the matrix)
varied between 15 mm and 115 mm. As shown in Fig. 47, each specimen contained two
protruding bars, one in each end, the anchoring lengths of the bars being identical.
Both types of specimens were reinforced with longitudinal bars, diameter 8 mm, to
avoid tensile failure.
[0568] In order to elucidate the effect of the fibres, two specimens (type FA) with the
same matrix composition, but without fibres were also made and tested.
[0569] In the specimens, the risk of cleavage of the reinforced matrix is far higher than
it will be in a similar CRC structure where the matrix layer is only thin at one side
of the reinforcement (the material at the other side of the reinforcement, in the
interior of the CRC structure, protects against cleavage).
Properties of the Test Specimens
[0570] The yield and fracture stresses of the bars to be pulled out were 616 and 774 MPa,
respectively.
[0571] The matrix material was of almost the same type as used in Examples 1-5, thus, based
on Portland cement, microsilica, quartz sand and 6% by volume of steel fibres (6 mm
x 0.15 m), but with some of the ingredients from other charges which were found to
give rise to lower strength and density than in the other examples. Despite of this,
the results give important information concerning the pull-out resistance.
[0572] The mix composition and the preparation of the mix were as described in Example 2.
The mixing was performed as in Example 1. The casting was performed under vibration
on a vibrating table oscillating at a frequency of 50 Hz and an acceleration of 30-50
m/sec.².
[0573] The test specimens were wrapped in wet towels and plastic and were stored for 1 day
at 20°C, 11 days at 40-45°C, and 1-3 days at 20°C.
Testing Procedure
[0574] The test was performed in an INSTRON machine model 1255 by pulling the protruding
ends of the cast-in bars at a constant rate of displacement of 0.1 mm/min. The pulling
force was recorded during the pulling. At the end of the experiment, when yielding
had started to occur, the rate of displacement was increased.
[0575] The results appear from Table 7.1.

[0576] In the experiments with thin prisms (cross section 18 x 66 mm), failure occurred
in the form of pulling out and simultaneous cleavage of the matrix along the reinforcement
at both sides of the prisms.
[0577] In the samples with the longest anchoring lengths, a pronounced yielding in the reinforcement
occurred before the pull-out. This was seen from the formation of a crack starting
at the end of the prism and developing inwards along the reinforcement.
[0578] In the specimens with the very short anchoring lengths (15 mm) failure occurred as
a combined cleavage and pulling out of a small wedge-shaped body of the matrix material.
[0579] In the specimens with the large anchoring lengths, there was also substantial yielding
and crack formation of the prism at the bar at the other end of the test specimen
where no failure occurred.
[0580] In the experiments with specimens with short anchoring lengths, substantial destruction
occurred only at the end where failure took place, whereas the matrix material in
the opposite end was largely intact and substantially without cracks.
[0581] In the experiments with thicker prisms (50 x 50 mm), pulling out occurred only for
specimens with a short anchoring length (less than 60 mm), whereas those with a longer
anchoring length (60 mm and longer) failed in that the protruding reinforcement was
simply ruptured.
Comments on the Results
[0582] The experiments show the capability of the CRC matrix to resist fracture along the
reinforcement in connection with pull-out. Thus, the formal pull-out shear stress
in the thin specimens with only 5 mm of reinforced matrix on each side of the reinforcement
is from about 17 to about 10 MPa. These values are exceptional because they are high
even compared to the shear stresses obtained with similar reinforcement bars surrounded
by large volumes of normal concrete. In the specimens with cross section 50 x 50 mm,
the shear stresses were about 30 MPa; this is an extremely high value which proves
that the full benefit of reinforcing steel bars is obtained at an anchoring length
of only about 5-6 times the diameter of the bar, even in specimens of such shape and
such dimensions that there is a risk of cleavage.
[0583] In more compact configurations where cleavage is prevented, the anchoring length
necessary to obtain the full benefit of reinforcing steel is much smaller.
[0584] This unique pull-out resistance is utilized, inter alia, in the new type of transverse
reinforcement according to the invention consisting of short straight bars arranged
transversely to the longitudinal main reinforcement.